Math, asked by Thesweetchic, 1 year ago

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.​

Answers

Answered by Anonymous
67

\huge\mathfrak{Bonjour!!}

\huge\mathcal\purple{Answer:-}

[Have a glimpse at the diagram above!]

As per the question,

OA= AB = OB

Therefore,

OAB is an equilateral triangle.

=> angle AOB = 60°

=> angle ACB = 1/2 angle AOB

[Angle subtended by an arc at the centre is twice the angle at the remaining circle]

=> angle ACB = 1/2 × 60°

=> angle ACB= 30°

Now,

angle ACB + angle ADB = 180°

[opposite angles of cyclic quadrilaterals are supplementary]

=> angle ADB = 180° - angle ACB

=> angle ADB= 180° - 30° = 150°

Hope it helps...:-)

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CABELLOER

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Answered by rishu6845
16

Answer:

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