a 3.5 M Wide Road Sarat a circular Park whose circumference is 352 M find the area of the circular Park
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Given:
Circumference of a circular park= 352 m
Width of a road = 3.5 m
Circumference = 2πr
352 = 2 ×( 22/7)× r
352×3.5 = 44r
r = (352×3.5)/44 = 8 × 3.5 = 28 m
Inner radius of the park (r) = 28 m
Outer radius of the Park including the road (R )= width + r
R = 3.5 + 28 = 63 m
R = 31.5 m
Area of the road = π(R² - r²)
= π(R+r) (R - r) [a² - b² = (a-b)(a-b)]
= 22/7 (31.5+28)(31.5-28)
= 22/7 × 59.5 × 3.5
= 11 × 208.25
Area of the road= 2290.75 m²
Hence, the Area of the road is 2290.75 m².
HOPE THIS WILL HELP YOU...
Circumference of a circular park= 352 m
Width of a road = 3.5 m
Circumference = 2πr
352 = 2 ×( 22/7)× r
352×3.5 = 44r
r = (352×3.5)/44 = 8 × 3.5 = 28 m
Inner radius of the park (r) = 28 m
Outer radius of the Park including the road (R )= width + r
R = 3.5 + 28 = 63 m
R = 31.5 m
Area of the road = π(R² - r²)
= π(R+r) (R - r) [a² - b² = (a-b)(a-b)]
= 22/7 (31.5+28)(31.5-28)
= 22/7 × 59.5 × 3.5
= 11 × 208.25
Area of the road= 2290.75 m²
Hence, the Area of the road is 2290.75 m².
HOPE THIS WILL HELP YOU...
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