Question

Determine the perimeter of the figure shown, correct to decimal place.

HELP IS MUCH APPRECIATED!

Answer 1

15pi

Explanation:

assuming the rounded shapes are semi-circles, we can determine each of their perimeters by the known formula for a full-circle, and divide by 2.

the perimeter of a circle with radius r, is 2×pi×r, hence, a semi-circle, is pi×r.

now we need to find r.

for the given side-length, we simply divide by 2, and we get 2.5 and 6.

for the missinf side-length, we use the Pythagorean formula - a²+b²=c², where a=5 and b=12, we get c=13. hence the third radius is 6.5.

now, the total perimeter will be:

2.5pi+6pi+6.5pi=15pi