Question

Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tenth.

Answer 1

8.7 units

Explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

`d = \sqrt{ {10}^(2) - {5}^(2) } \\ = √(100 - 25) \\ = √(75) \\ = 8.66025404 \\ = 8.7 \: units`