AB and AC are tangents to the circle with centre O. If the radius of the circle is 5 and length of the tangent is 5andradic;3, what is the area of the shaded region?a)b)c)d)Correct answer is option 'A'. Can you explain this answer?

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AB and AC are tangents to the circle with centre O. If the radius of the circle is 5 and length of the tangent is 5√3, what is the area of the shaded region?

Correct answer is option 'A'. Can you explain this answer?

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AB and AC are tangents to the circle with centre O. If the radius of t...

In the triangle BOA, tan

Therefore, θ=60 degrees.
The shaded area = Area of two triangles - area of section of circle.
As the radius is perpendicular to a tangent, triangle OAB is a right angled triangle, with right angle at B, with area = 1/2 ∗ 5 ∗ 5√3.
Hence area of both triangles= 2 ∗ 1/2 ∗ 5 ∗ 5√3=25√3.
The angle BOA =

Hence, angle BOC = 2*BOA = 120°
Hence the area of the section = area of circle/3

Hence area of shaded portion=

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AB and AC are tangents to the circle with centre O. If the radius of the circle is 5 and length of the tangent is 5√3, what is the area of the shaded region?a)b)c)d)Correct answer is option 'A'. Can you explain this answer?

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