Question

Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14 cm × 11 cm.
Find the radius of the circle.

Answer 1

Answer:

radius of the circle is 7 cm

Step-by-step explanation:

dimensions of the rectangle

length= 14 cm

breadth = 11 cm

area = length x breadth

= 14 x 11

= 154 cm

we know that, Area of a rectangle and the area of a circle are equal

area of circle = πr2

154 = 22/7 x r^2

154 x 7 =  22 x r^2

1078 =  22 x r^2

1078/22 = r^2

r^2 = 49

r = square root of 49

r = 7 cm

thus radius of the circle is 7 cm

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Answer 2

Answer:

Area of rectangle= 14×11=154cm²

area of rectangle= area of circle

area of circle= 154cm²

πr²= 154

22/7× r²= 154

r²= 154÷22/7

=154×7/22

= 49

r= √49

= 7

radius= 7