(1) From the given figure, grass is planted on a circular strip of
width 4 m. The radius of the inner edge of the grass strip is
12 m. If the cost of planting the grass is 5 per m², then find the
total cost of planting the grass on the whole circular strip.
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Answer:
₹1,758.4/-
Step-by-step explanation:
Let the outer circle (including the grass strip and the circle formed by the inner edge of the grass strip) be circle 1.
Let the inner circle (excluding the grass strip) be circle 2.
Radius of circle 1 (R) = Radius of circle 2 + Width of the grass strip = 12 m + 4 m = 16 m
Area of circle 1 = πR²
= 3.14 × 16 × 16
= 157/25 × 8 × 16 m²
Radius of circle 2 (r) = 12 m
Area of circle 2 = πr²
= 3.14 × 12 × 12
= 157/25 × 6 × 12 m²
Area of grass strip = Area of circle 1 - Area of circle 2
= 157/25 × 8 × 16 - 157/25 × 6 × 12
= 157/25 (8 × 16 - 6 × 12)
= 157/25 (128 - 72)
= 157/25 × 56 m²
Cost of planting grass per m² = ₹5
Cost of planting on whole grass strip
= 157/25 × 56 × 5
= 157/5 × 56
= ₹1,758.4/-
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