Question

A circular park is surrounded by a road 21m wide . If the radius of the park is 105 m , then find thearea of the road

Answer 1

Answer:

ar of road=area of whole circle- ar of park

radius of whole circle=105+21=126

area =22/7×126×126

=126×396

=49896

radius of circular park=105

area=22/7×105×105

=105×330

=34650

area of road=49896-34650

=15240

Answer 2

Inner radius = r1 = 105m

Outer radius = r2 = 105 + 21 = 126m

Area of the road

$\longrightarrow$$\sf{π( {r2}^{2} - {r1)}^{2}}$

$\longrightarrow$$\sf {\frac{22}{7} (( {126)}^{2} - ( {105)}^{2} ) {m}^{2}}$

$\longrightarrow$$\sf{ \frac{22}{7} \times 231 \times {21m}^{2}}$

$\longrightarrow$${\boxed{\sf{15246m}^{2}}}$