Area Related to Circle Test

Result

Area Related to Circle Test - 1

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Question 1
1 / -0

A circular field of area 5544 m², has a fence around it. If the same fence is to be used around a new rectangular field of length 115 m and area 9775 m², then how much more fence is required? [Take π = 22/7]

A
130 m

B
132 m

C
134 m

D
136 m

Solution

Area of the circle = 5544 m²
πr² = 5544
r² = (5544 × 7) ÷ 22
r² = 1764
r = 42 m
Length of the fence around the circular field = Circumference of the circle = 2πr
= [2 × 22 × 42] ÷ 7 = 264 m
Area of the rectangular field = 9775 m²
Length of the rectangular field = 115 m
Width of the rectangular field = 9775 ÷ 115 = 85 m
Perimeter of the rectangular field = 2 (L + W)
= 2 (115 + 85) = 400 m
Length of the fence required = 400 – 264
= 136 m