Question

find the circumference and area of the circle. express answers in terms of π and then round to the nearest tenth. find the circumference in terms of π. c = 42π yd (type an exact answer in terms of π.) find the circumference rounded to the nearest tenth. c = 131.9 yd find the area in terms of π a = (type an exact answer in terms of π.)

Explanation:

Step1: Encontrar el radio

El diámetro \(d = 42\) yd. El radio \(r=\frac{d}{2}=\frac{42}{2}=21\) yd.

Step2: Formula del área del círculo

La fórmula del área de un círculo es \(A=\pi r^{2}\). Sustituir \(r = 21\) en la fórmula: \(A=\pi\times(21)^{2}\).

Step3: Calcular el valor exacto

\(A = 441\pi\) yd².

Answer:

\(A = 441\pi\) yd²