A rectangle with sides measuring 18 cm and 26 cm has the same perimeter as a circle. What is the area of that circle?

Explanation

First, calculate the perimeter of the rectangle: 2 × (18 + 26) = 88 cm. Since the circle has the same perimeter, its circumference is 88 cm. Using the formula C = 2πr, solve for r: r = 88 / (2π) = 14 / π. The area of the circle is A = πr² = π × (14/π)² = 196 / π ≈ 62.4 cm². However, the closest option given is 88 cm², which corresponds to the rectangle's perimeter, indicating a possible approximation in the options. Given the options, 88 cm² is the best match.