Question

3 semicircles are connected to 3 sides of a square. each side of the square measures 4 centimeters. what is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2

Answer 1

The area of the composite figure  with 3 semicircles connected to 3 sides of a square is (6π+16)$cm^{2}$.

What is a semicircle?

A semicircle is a plane shape that is a part of a circle divided into two equal parts through its diameter.

Analysis:

Since the semicircles are connected to 3 sides of a square 4cm, the diameter of the semicircle is 4cm.

Radius of semicircle = 4/2 = 2cm

Area of a semicircle = π$r^{2}$/2 = $\pi$$(2)^{2}$/2 = 2π$cm^{2}$

For three semicircles = 3 x 2π$cm^{2}$ = 6π$cm^{2}$

Area of square = $s^{2}$ = $(4)^{2}$ = 16$cm^{2}$

Area of composite figure  = Area of 3 semicircles + area of square

Area of composite figure = (16 + 6π)$cm^{2}$

In conclusion, the area of the composite figure is  (16 + 6π)$cm^{2}$.

Learn more about  area of plane shapes: brainly.com/question/20475473

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