Question

IF ME is a diameter, the length of TE is 6, and the length of MT is 8, what is the EXACT circumference of circle D?

Answer 1

10π

Explanation:

Since ME is the diameter of the circle,

angle MTE = 90° (∠ in semicircle)

By pyth. theorem we can obtain,

ME = √8² + 6²

ME = 10

The diameter of the circle is 10

The circumference of circle D is 10π

Answer 2

<MTE =90°

the inscribed angle from the diameter is 90°

in triangle MTE

MT=8 unit

TE=6unit

by using Pythagoras law

D=ME=√(8²+6²)=10 unit

radius =D/2=10/2=5unit

circumference of circle D=2πr=2π×5=10π or31.4unit