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The perimeter of the given quarter circle is 24.997 cm.

Explanation:

Step 1:

The perimeter of a circle is 2π times its radius.

The given figure is only a quarter circle so we divide the entire circle's perimeter by 4 to get this figures circular portions perimeter and add it with the lengths of the two sides of the quarter circle.

The perimeter of a circle
= 2 \pi r.

Step 2:

The given circle has a radius of 7 cm and we take
\pi = 3.142.

The perimeter of the full circle
= 2 (3.142)(7) = 43.988.

The perimeter of the circular portion
= (43.988)/(4) = 10.997 cm.

The two sides measure 7 cm each.

So the perimeter of the given figure
= 10.997 + 7 + 7 = 24.997 cm.

User JCurativo
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