Trigonometry question please help

Question

Find the length of the arc which is opposite to an inscribed angle of measure 60° , in a circle whose radius length is 10 cm

Pplease help me I don’t understand how the solve the question 🙁 Thank you very much for the help 🥹

Answer 1

Use the formulas

S = rθ If θ is in radians

S= πr(θ/180°) if θ is in degrees

Where S = the arc length

r = the radius

θ = the central angle measurement

Note that the central angle is twice the inscribed angle or 120° in this case

This can all be thought about being part of the circumference of a full circle

C = diameter × π = 2 r π where θ = 2π = 360°

Answer 2

The central angle subtended by the same arc will be twice the inscribed angle. Therefore, the central angle will be 120°.

The arc length consists of 120°/360°, or 1/3 of the circumference of the circle. The circumference of a circle can be found using the formula 2πr. So,

Arc length L = 1/3 * 2πr = 1/3 * 2π(10)

L = 20π/3 cm

Hope this was helpful.