The circumference of a circular plot is 220 metres. What is the area of this…
2016
The circumference of a circular plot is 220 metres. What is the area of this circular plot in square metres?
Answer: D. 3850 sq meters — To find the area of the circular plot, we follow a two-step process: first, find the radius from the circumference, and then calculate the area. Step-by-Step…
- A.
7700 sq meters
- B.
1225 sq meters
- C.
5775 sq meters
- D.
3850 sq meters
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Correct answer: D
To find the area of the circular plot, we follow a two-step process: first, find the radius from the circumference, and then calculate the area.
Step-by-Step Calculation
Find the Radius (r):
The formula for the circumference (C) of a circle is C = 2 * π * r.
Given C = 220 metres and taking π ≈ 22/7:
220 = 2 * (22/7) * r
220 = (44/7) * r
r = (220 * 7) / 44
r = 5 * 7
r = 35 metres
Calculate the Area (A):
The formula for the area of a circle is A = π * r².
A = (22/7) * 35²
A = (22/7) * 35 * 35
A = 22 * 5 * 35
A = 110 * 35
A = 3,850 square metres