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User DCO
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Answer:

145.7 cm

Explanation:

You want the perimeter of a shape bounded by 4 semicircles of radius 10 cm and two straight lines 10 cm long.

Perimeter

The circumference of a circle with radius 10 cm is ...

C = 2πr

C = 2(3.142)(10 cm) = 62.84 cm

The shape is bounded (in part) by 4 semicircles, so 2 full circles. The length of the curved boundary is ...

curve length = 2 · (62.84 cm) = 125.68 cm

The two straight edges at either end of the figure are equal in length to the radius. That total length gets added to the curve length to form the perimeter.

P = straight length + curve length

P = 2·10 cm + 125.68 cm ≈ 145.7 cm

The perimeter is about 145.7 cm.

Can anyone answer? Please-example-1
User Andrew Meyer
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