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

Question

asked Feb 28, 2022 57.4k views

1 Answer

Elio Fernandes · Answer 1 · 2022-03-04T05:17:06+0000

Answer:

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:

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