Q. Find the area of a circle whose circumference is 44cm ?15.4cm2153cm2155cm2154cm2
Recall Circle Circumference Formula: Recall the formula for the circumference of a circle. The formula for the circumference C of a circle is C=2πr, where r is the radius of the circle.
Solve for Radius: Solve for the radius r using the given circumference.Given C=44cm, we can rearrange the formula to solve for r: r=2πC.
Calculate Radius: Calculate the radius.r=2π44cm≈6.283244cm≈7cm (rounded to the nearest whole number for simplicity).
Recall Circle Area Formula: Recall the formula for the area A of a circle.The formula for the area of a circle is A=πr2.
Calculate Area: Calculate the area using the radius. A=π(7cm)2≈3.1416×49cm2≈153.9384cm2.
Round Area: Round the area to the nearest whole number.The area of the circle, rounded to the nearest whole number, is approximately 154cm2.