Inscribed angles (video) | Circles | Khan Academy (2024)

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  • hasitak11170

    6 years agoPosted 6 years ago. Direct link to hasitak11170's post “At 0:46, Sal says that "w...”

    At

    Inscribed angles (video) | Circles | Khan Academy (2) 0:46

    , Sal says that "we know from the inscribed angle theorem ...."
    What exactly is the inscribed angle theorem? Is there another video somewhere that I missed, because I am doing this mission from the beginning? If not, is there a link somewhere that explains this concept?

    (42 votes)

    • Glorfindel

      6 years agoPosted 6 years ago. Direct link to Glorfindel's post “The inscribed angle theor...”

      Inscribed angles (video) | Circles | Khan Academy (5)

      The inscribed angle theorem states that the inscribed angle has one half the degree of the central angle that shares the same arc with the inscribed angle. The theorem is explained later in the video.

      (14 votes)

  • josh

    8 years agoPosted 8 years ago. Direct link to josh's post “Can someone please explai...”

    Can someone please explain? I think I need some help on this.

    (6 votes)

    • Rohan

      8 years agoPosted 8 years ago. Direct link to Rohan's post “Hey man this theorem is a...”

      Hey man this theorem is also called the double angle theorem. It states that 'the angle subtended by an arc at the center is double of the angle subtended by it at the center'. To put is simply the angle ADC(from the video) is half(1/2) of angle ABC. Hope it make your doubt clear!

      (6 votes)

  • Kyla

    5 years agoPosted 5 years ago. Direct link to Kyla's post “im confused is there a di...”

    im confused is there a different way

    (4 votes)

    • Elder Fauth

      5 years agoPosted 5 years ago. Direct link to Elder Fauth's post “If you are trying to find...”

      If you are trying to find the blue angle, double the orange angle. If you are trying to find the orange angle, halve the blue angle.

      Hope that helps!

      (9 votes)

  • kaitlyn gormley

    8 years agoPosted 8 years ago. Direct link to kaitlyn gormley's post “i dont understand any of ...”

    i dont understand any of this circle geometry stuff?

    (4 votes)

    • Anwesha Mishra

      7 years agoPosted 7 years ago. Direct link to Anwesha Mishra's post “hey!! go back and start ...”

      hey!!
      go back and start from the first video and search on the net for more videos
      if u practice more then you will be able to master it

      (4 votes)

  • lived4adream

    4 years agoPosted 4 years ago. Direct link to lived4adream's post “Don't we actually calcula...”

    Don't we actually calculate the angle using Θ=arc length/radius? As the radius(distance) is doubled (=diameter in that case), initial Θ is multiplied by 1/2.

    (3 votes)

    • HZWang

      4 years agoPosted 4 years ago. Direct link to HZWang's post “Hi lived4adream, the answ...”

      Hi lived4adream, the answer is no, we don't. The ratio you are talking about is the radian measurement(arc length/radius). Radians are not used for inscribed angles; their purpose is to resemble and serve as a unit of measurement for the central angle derived from the ratio of the arc length of a central angle and the radius of the circle. Besides, in this case, AD and CD are not diameters of circle B. The basis of the inscribed angle theorem is a bit more complicated and different from what you are thinking of.
      Overall, great question!
      Hope you found this helpful and feel free to ask if you have any more questions!
      ~Hannah

      (4 votes)

  • vihaan

    5 months agoPosted 5 months ago. Direct link to vihaan's post “This might be a dumb ques...”

    This might be a dumb question but what are inscribed angles?

    (2 votes)

    • kubleeka

      5 months agoPosted 5 months ago. Direct link to kubleeka's post “We say an angle is inscri...”

      We say an angle is inscribed in a circle if the vertex is on the edge of the circle, and the legs go through the interior of the circle.

      (3 votes)

  • PI Technology Π

    5 years agoPosted 5 years ago. Direct link to PI Technology Π's post “What is the definition of...”

    What is the definition of inscribed angle ?

    (3 votes)

    • 𝕐𝕒𝕤𝕙𝕒𝕤 𝕊

      9 months agoPosted 9 months ago. Direct link to 𝕐𝕒𝕤𝕙𝕒𝕤 𝕊's post “An inscribed angle is the...”

      An inscribed angle is the angle formed in the interior of a circle when two chords intersect the same arc.

      (1 vote)

  • noormohamed1616

    6 years agoPosted 6 years ago. Direct link to noormohamed1616's post “when he says <ABC he take...”

    when he says <ABC he takes it the way show in the video. my question is, why should we not take the other angle i.e., the greater angles more than 180 one?

    (2 votes)

    • Khaled Fayed Ghaleb

      6 years agoPosted 6 years ago. Direct link to Khaled Fayed Ghaleb's post “If you refer to 0:15; you...”

      If you refer to

      Inscribed angles (video) | Circles | Khan Academy (27) 0:15

      ; you could understand by other way that it is the angle of intersection between the line AB and line BC at the vertex B.

      and by common thinking and stated in this course before we measure the less angle (angle is corner in latin) unless the problem define the opposite

      please refer to https://www.khanacademy.org/math/basic-geo/basic-geo-angle/modal/v/angle-basics

      (3 votes)

  • joshadrian.valdez

    3 years agoPosted 3 years ago. Direct link to joshadrian.valdez's post “How would you know If it'...”

    How would you know If it's an inscribed Angles in the first place?

    (2 votes)

    • Ash_001

      3 years agoPosted 3 years ago. Direct link to Ash_001's post “An inscribed angle is any...”

      An inscribed angle is anywhere on the circle where 2 secant segments intersect

      (2 votes)

  • asims001

    a year agoPosted a year ago. Direct link to asims001's post “what are inscribed angles”

    what are inscribed angles

    (2 votes)

    • 𝕐𝕒𝕤𝕙𝕒𝕤 𝕊

      9 months agoPosted 9 months ago. Direct link to 𝕐𝕒𝕤𝕙𝕒𝕤 𝕊's post “An inscribed angle is the...”

      An inscribed angle is the angle formed in the interior of a circle when two chords intersect the same arc.

      (2 votes)

Inscribed angles (video) | Circles | Khan Academy (2024)

FAQs

What is the rule for inscribed angles? ›

Inscribed Angle Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc. That is, m ∠ A B C = 1 2 m ∠ A O C . This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.

What is the inscribed angle theorem? ›

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides.

Is the inscribed angle half the central angle? ›

An inscribed angle is half the measure of a central angle subtended by the same arc.

What is the formula for finding the angle measure of an inscribed angle? ›

The measure of an inscribed angle is equal to half the measure of the central angle that goes with the intercepted arc. The measure of an inscribed angle is equal to half the measure of its intercepted arc.

Do inscribed angles add up to 180? ›

The measure of an inscribed angle is one-half of the measure of the arc it intercepts. It is also one-half of the measure of the central angle that intercepts the same arc. In the figure, ∠ A C B is an inscribed angle. Supplementary Angles Two angles are supplementary if the sum of their measures is 180 degrees.

What is the formula for arcs and inscribed angles? ›

An inscribed angle is formed when two lines pass through the circle's circumference and meet at a vertex on another part of the circle's circumference. The intercepted arc that is formed is equal to the inscribed angle, multiplied by two (intercepted arc measure = inscribed angle * 2).

How to find inscribed quadrilateral angles? ›

The measure of an angle of a quadrilateral inscribed in a circle is equal to one-half of the measure of the arc of the circle that it intercepts. The measure of an arc intercepted by an angle of a quadrilateral that is inscribed in a circle is equal to two times the measure of the inscribed angle.

How will you know that an inscribed angle is a right angle? ›

Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle. Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.

What is special about inscribed angles? ›

The inscribed angle theorem states that the inscribed angle has one half the degree of the central angle that shares the same arc with the inscribed angle.

How to find the length of an arc? ›

Arc length = θ/360 of 2πr = θ/360 × 2πr = rθ × π/180. This is the arc length formula when the angle is in degrees. The length of an arc can be calculated using different formulas, based on the unit of the central angle of the arc.

How to solve an inscribed angle? ›

The measure of an inscribed angle is half of the measure of the arc it intercepts. If m A C ⌢ = 68 ∘ ‍ , then m ∠ A B C = 34 ∘ ‍ . The measure of ∠ A B C ‍ is 34 ∘ ‍ .

What are the rules for inscribed and central angles? ›

Angles whose vertex is on the circumference are called:Inscribed angles. Subtending the same arc means sharing the same arc. In a circumference, the measure of the central angle that subtends the same arc of any inscribed angle is twice the measure of any inscribed angle that subtends the same arc.

Why is the central angle twice the inscribed angle? ›

A central angle is twice the measure of an inscribed angle subtended by the same arc. COB since both are subtended by arc(CB). CAB since both are subtended by arc(CB). Note that a consequence of this property is that any inscribed angle subtended by a semicircle is a right angle, as shown in the example above right.

How to find arc length with radius and inscribed angle? ›

How to Find Arc Length With the Radius and Central Angle? The arc length of a circle can be calculated with the radius and central angle using the arc length formula, Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

What are the rules for inscribed shapes? ›

Since the inscribed angle theorem tells us that any inscribed angle will be exactly half the measure of the central angle that subtends its arc, it follows that all inscribed angles sharing that arc will be half the measure of the same central angle. Therefore, the inscribed angles must all be congruent.

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