Question

find the area of a circle whose circumference is same as the perimeter or a stare of side 22 cm.

Answer 1

side of a square =22 CM
perimeter of square= 88 CM
circumference of circle= perimeter of square
2πr=88cm
2×22/7×r=88cm
44/7×r=88cm
r=88×7/44
r=14cm
area of circle=π×r×r
22/7×14×14=44×4
176cm square

Answer 2

Area of circle = 35.8 $\bold{cm^2}$

Step-by-step explanation:

According to the questions,

Perimeter of square = circumference of circle

$22 = 2\times \pi\times r$

$22 = 2 \times r\times \frac{22}{7}$

$r = \frac{22\times 7}{44}$

$r = \frac{7}{2}$

r = 3. 5 cm

So, Area of circle = $\pi\times r^2$

Area of circle = $\frac{22}{7}\times 3.5^2$

Area of circle = 35.8 $cm^2$