Question

The circumference of circle is 132m . find the area​

Answer 1

Answer:

Given:-

The circumference of circle is 132 m, find the area.

To Find:-

The area.

Note:-

●》As for finding area, radius is to be known and radius = $\frac{Diameter}{2}$, but diameter is also not known so we'll calculate from circumference formula i.e. Circumference of a circle = 2πr $( π = \frac{22}{7} )$

●》For finding some unknown values, a known values needs to be rearranged and signs are also changed or not. For example - multiple becomes divisional ( signs do not change ), divisional becomes multiple ( signs do not change )

●》Area of a circle = πr² $( π = \frac{22}{7} )$

Solution:-

[ For Radius ]

$\huge\red{Circumference = 132 m, \ \ Radius = ?, Let \ \ Radius = "x"}$

☆ According to note first point and $π = \frac{22}{7}$ ~

▪︎$Circumference \ \ of \ \ a \ \ circle = 2πr$

▪︎$132 m = 2 × \frac{22}{7} × x$

▪︎$132 m = \frac{44}{7} × x$

☆ According to note second point ( rearrangement )~

▪︎$132 m × 7 = 44 × x$

▪︎$924 m = 44 × x$

▪︎$924 m ÷ 44 = x$

☆ After doing division~

▪︎$21 m = x$

$\huge\pink{Radius = x = 21 m}$

______________________

[ Now, Area ]

☆ According to note third point and $π = \frac{22}{7}$ ~

▪︎$Area \ \ of \ \ a \ \ circle = πr²$

▪︎$Area \ \ of \ \ a \ \ circle = \frac{22}{7} × ( 21 m )²$

▪︎$Area \ \ of \ \ a \ \ circle = \frac{22}{7} × 21 m × 21 m$

▪︎$Area \ \ of \ \ a \ \ circle = \frac{22}{7} × 441 m²$

▪︎$Area \ \ of \ \ a \ \ circle = \frac{9,702}{7} m²$

☆ After doing division~

▪︎$Area \ \ of \ \ a \ \ circle = 1,386 m²$

$\huge\pink{Area = 1,386 m²}$

Answer:-

Hence, the area of a circle = 1,386 m².

:)