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?

  1. A.

    7700 sq meters

  2. B.

    1225 sq meters

  3. C.

    5775 sq meters

  4. D.

    3850 sq meters

Attempted by 1 students.

Show answer & explanation

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

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