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The diameter of circle J is 18 cm. The diameter of Circle K is 31 cm. Which circle has the greater area and by how much

User Goamn
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1 Answer

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Circle K has a greater area and it is higher than circle J by 500.045 square centimeter

Solution:

The area of circle is given as:


A = \pi r^2

Where "r" is the radius of circle

Also, Radius is given by:


diameter = (radius)/(2)

Given that,

Diameter of circle J is 18 cm

Therefore,


radius = (18)/(2) = 9

Substitute r = 9 in area formula


A = 3.14 * 9^2\\\\A =3.14 * 81 = 254.34

Thus area of circle J is 254.34 square centimeter

Diameter of Circle K is 31 cm


radius = (31)/(2) = 15.5

Substitute r = 15.5 in area formula


A = 3.14 * (15.5)^2\\\\A = 3.14 * 240.25\\\\A = 754.385

Thus area of circle K is 754.385 square centimeter

On comparing the area of circle J and circle K, we find the area of circle K to be higher

Area of circle K - Area of circle J = 754.385 - 254.34 = 500.045

Thus circle K has a greater area and it is higher than circle J by 500.045 square centimeter

User Arzybek
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