"Find the perimeter of the semicircular region. Round..." was answered by our experts

banganX

Answered question

2021-01-15

Find the perimeter of the semicircular region. Round to the nearest hundredth.

Answer & Explanation

Ayesha Gomez

Skilled2021-01-16Added 104 answers

The perimeter of a semicircle region is the curved distance around the semicircle plus the diameter of the semicircle.
The curved distance around the semicircle is half of the circumference of the full circle. The formula for circumference is C=πd where d is the diameter. Half of the circumference would then be

\frac{1}{2} π d

. Since the diameter of the semicircle is 9 m, you need to substitute d=9 into

\frac{1}{2} π d

. This gives

\frac{1}{2} π (9) = 4.5 π m .

The diameter of the semicircle is 9 m so the perimeter is then curved distance + diameter =

4.5 π + 94.5 π + 9 .

Using a calculator to evaluate gives

4.5 π + 9 \approx 23.14 .

The perimeter of the semicircle is then about 23.14 m.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Didn't find what you were looking for?