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

banganX

banganX

Answered question

2021-01-15

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

Answer & Explanation

Ayesha Gomez

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 12πd. Since the diameter of the semicircle is 9 m, you need to substitute d=9 into 12πd. This gives 12π(9)=4.5πm.
The diameter of the semicircle is 9 m so the perimeter is then curved distance + diameter = 4.5π+94.5π+9. Using a calculator to evaluate gives 4.5π+923.14. The perimeter of the semicircle is then about 23.14 m.

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