Question

a wire in the form of square with side 22cm. it is reshaped and bent into the form of s circle. calculate the area of this circle

Answer 1

Answer:

==》Area of circle=616 cm²

Step-by-step explanation:

Given:

• side of square(a)= 22 cm

Perimeter of square=4a

=(4×22)

=88 cm

As same as the wire used to form a circle then both will have the same perimeter

$2 \times \pi \times r = 88 \: cm \\ 2 \times \frac{22}{7} \times r = 88 \: cm \\ = > r = \frac{88 \times 7}{2 \times 22 } \\ r = 14 \: cm$

Hence, the radius of a circle is 14 cm.

$area \: of \: circle = \pi \times r {}^{2} \\ \frac{22}{7} \times 14 {}^{2} \\ = > \frac{22}{7} \times 14 \times 14 \\ = 616 \: cm {}^{2}$

Thus, area of circle is 616 cm².