Find the angle subtended at the center of a circle by a chord which is equal in length to the radius of the circle.

IfeAbims

1 year ago

A radius is half of a diameter, and a diameter is 180
180/2 = 90

D is the correct answer

jammmmmmmm

10 months ago

myschool is correct ,To find the angle subtended at the centre by a chord equal in length to the radius of the circle:

Let:
- Radius = r
- Chord = r (since it's equal to the radius)

In the triangle formed by the two radii and the chord, it's an isosceles triangle.

Let the angle at the center be θ.

Using the cosine rule:
cos(θ) = (r² + r² − r²) / (2 × r × r)
cos(θ) = r² / (2r²) = 1/2

θ = cos⁻¹(1/2) = 60°

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meritneye

1 year ago

yes I discovered that too