Question

What is the perimeter of the given figure?

A.19pie inches
B. 24 + 5pie inches
C. 29pie inches
D. 14 + 5pie inches​

Answer 1

D. 14 + 5π inches

Explanation:

1. solve for the side of a triangle using Pythagorean =
`√((10^2 - 6^2))` = 8 in.

2. circumference of a half circle = πd /2 = π*10 / 2 = 5π in.

3. total perimeter = (8 + 6) + 5π = 14 + 5π

therefore, the answer is D. 14 + 5π inches

Answer 2

D.

Explanation:

The length of the unmarked side of the triangle is found by using Pythagoras:

x sqrt (10^2 - 6^2)

= sqrt 64

= 8.

The length of the curved part = 1/2 * pi * 10 = 5pi

Perimeter = 8 + 6 + 5pi

= 14 + 5pi