Question

The circumstance of a circular park is 176 m find its area

Answer 1

Given :

Circumference of a circular park = 176 m

Find : Area of the park.

Solution :

We know that,

• Circumference of circle = 2πr

Put the known values in above formula

→ 176 = 2 × $\dfrac{22}{7}$ × r

→ 176 = $\dfrac{44}{7}$ × r

→ $\dfrac{176\:\times\:7}{44}$ = r

→ $\dfrac{1232}{44}$ = r

→ r = 28 m

Now,

• Area of circle = πr²

Put the known values in above formula

→ $\dfrac{22}{7}$ × (28)²

→ $\dfrac{22}{7}$ × 784

→ 22 × 112

→ 2464 m²

∴ Area of park is 2464 m².

Answer 2

Answer:

Given :

Circumference of a circular park = 176 m

Find : Area of the park.

Solution :

We know that,

• Circumference of circle = 2πr

Put the known values in above formula

→ 176 = 2 × \dfrac{22}{7}722 × r

→ 176 = \dfrac{44}{7}744 × r

→ \dfrac{176\:\times\:7}{44}44176×7 = r

→ \dfrac{1232}{44}441232 = r

→ r = 28 m

Now,

• Area of circle = πr²

Put the known values in above formula

→ \dfrac{22}{7}722 × (28)²

→ \dfrac{22}{7}722 × 784

→ 22 × 112

→ 2464 m²

∴ Area of park is 2464 m².