Question

The radius of each semicircle in the composite figure is x units. The width of the rectangular part of the figure is equal to the radius.

Which expression represents the distance around the composite figure

A. 6x+2πx
B. 6x +4πx
C. 10x +2πx
D. 10x +4πx​

Answer 1

A) 6x + 2πx

Explanation:

left side of figure = 4x

top and bottom flat portion of figure = 2x

2 semi-circles with radius of x is equal to 1 full circle with diameter = 2xπ

distance around = 4x + 2x + 2xπ or 6x + 2πx