Question

The radius of a circular field is 56m. A7m wide road is to be constructed outside the field find the area of the road solution

Answer 1

radius = 56 m
area of circular field = 22/7 * 56 * 56
                                = 9856 sq.m
radius of circular field including road = 56+ 7
                                                            = 63 m
 area of field including road = 22/7 * 63*63
                                            =12474 sq . m
   area of road = area of field including road - area of field
                                            = 12474- 9856
                                             =2618 sq.m

Answer 2

Answer:

The road around the circular field is like a circular ring.

For this circular ring

Inner radius r = 56m

Outer radius R = (56+7) =63m

Area of road = area of outer circle - area if inner circle

= πR^2 -πr^2

=22/7(63)^2m^2 -22/7(56)^2m^2

=22/7(63^2 -56^2) m^2=22/7(63+56)(63-56)

=22/7 *119*7 =2618 m^2

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