The circumference of a circle is 33 cm. Find its area.

by

Points to Remember:

  • The formula for the circumference of a circle is C = 2πr, where ‘r’ is the radius.
  • The formula for the area of a circle is A = πr², where ‘r’ is the radius.
  • π (pi) is approximately 3.14159.

Introduction:

This question requires a factual and analytical approach to determine the area of a circle given its circumference. The problem involves applying fundamental geometrical formulas. We will first calculate the radius of the circle using the given circumference and then use that radius to calculate the area.

Body:

1. Calculating the Radius:

The circumference (C) of a circle is given by the formula C = 2πr. We are given that C = 33 cm. Therefore, we can rearrange the formula to solve for the radius (r):

r = C / 2π = 33 cm / (2 * 3.14159) ≈ 5.252 cm

2. Calculating the Area:

The area (A) of a circle is given by the formula A = πr². Using the calculated radius:

A = π * (5.252 cm)² ≈ 3.14159 * 27.58 ≈ 86.6 cm²

Therefore, the area of the circle is approximately 86.6 square centimeters.

Conclusion:

In summary, by utilizing the formulas for the circumference and area of a circle, we determined the area of a circle with a circumference of 33 cm to be approximately 86.6 cm². This calculation involved a straightforward application of geometrical principles. No further policy recommendations or best practices are necessary for this specific mathematical problem. The accuracy of the result depends on the precision used for the value of π. Using more decimal places for π would yield a slightly more precise result. The solution highlights the interconnectedness of different geometrical properties of a circle, demonstrating a fundamental concept in mathematics.

MPPCS  Notes brings Prelims and Mains programs for MPPCS  Prelims and MPPCS  Mains Exam preparation. Various Programs initiated by MPPCS  Notes are as follows:- For any doubt, Just leave us a Chat or Fill us a querry––