# The semicircle of area 50 pi centimeters is inscribed inside a rectangle. The diameter of the semicircle coincides with the length of the rectangle. Find the area of the rectangle.

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by ajhing16

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by ajhing16

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Area of a circle = r²

Area of a rectangle = base x height

Semicircle:

A = r²

2(50 )= r² --> i multiplied 50 by 2 since 50

The area of the rectangle is 200 cm².

For the radius is 10 cm. :)

Area of a rectangle = base x height

Semicircle:

A = r²

2(50 )= r² --> i multiplied 50 by 2 since 50

The area of the rectangle is 200 cm².

For the radius is 10 cm. :)

Area of a rectangle = length x width

Semicircle:

A = pi r²

2(50 pi ) = pi r² --> I multiplied 50 pi by 2 since 50 pi is the area of the semicircle

(100 pi = pi r²) pi

r² = 100

r = 10 cm

Rectangle: (A = length x width)

length = diameter of the semicircle

= 2(10 cm)

= 20 cm

width = radius of the semicircle

= 10 cm

so, A = l x w

= 20 (10)

= 200 cm