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Question

A circle is divided into four equal parts.


What is the area of one part of a circle if the total area is 72 sq units?

A
18 sq units
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B
21 sq units
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C
14 sq units
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D
23 sq units
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Solution

The correct option is A 18 sq units
Total area of a circle = 72 sq units

To determine the area of one part of a circle out of 4, we have to calculate the value of 72 ÷ 4 and find out the remainder.

Let us solve this through partial quotient method.

First, we write the values in the long division bracket.


Now, we find an easier multiple of the divisor 4, which is closer to the dividend 72.


We subtract the multiple 40 from the dividend 72 and write the partial quotients in the right column.


Let's keep repeating the process until the dividend is reduced to zero.


Now, we add all the partial quotients to get the final quotient.

∴ Final quotient =10 + 8 = 18

Hence, the area of one part of the circle is 18 sq units.


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