Question

directions: study the figures, read the question, and choose the best answer. 6. two identical circular patterns were observed in the middle of a cornfield. if the radius of one circle is 5 m, what is the total area of both circles, measured to the nearest square meter? a. 10 b. 31 c. 79 d. 157

Explanation:

Step1: Calculate the area of one circle

The formula for the area of a circle is \(A = \pi r^{2}\). Given \(r = 5\) m, and taking \(\pi\approx3.14\), then \(A_1=\pi\times5^{2}=3.14\times25 = 78.5\) \(m^{2}\).

Step2: Calculate the total area of two circles

Since there are two identical circles, \(A_{total}=2\times A_1\). Substitute \(A_1 = 78.5\) \(m^{2}\) into the formula, we get \(A_{total}=2\times78.5=157\) \(m^{2}\).

Answer:

D. 157