Question

estimate values of expressions with pi practice
complete this assessment to review what youve learned. it will not count toward your grade.
what is the area of a circle with a diameter of 10 yards? estimate the area to the hundredths place using 3.14 for π (1 point)
check answer remaining attempts : 3
□ square yards

Explanation:

Step1: Find the radius

The diameter \(d = 10\) yards. The radius \(r=\frac{d}{2}\), so \(r=\frac{10}{2}=5\) yards.

Step2: Use the area formula for a circle

The area formula of a circle is \(A=\pi r^{2}\). Substitute \(r = 5\) and \(\pi=3.14\). Then \(A=3.14\times5^{2}\).

Step3: Calculate \(5^{2}\)

\(5^{2}=5\times5 = 25\). So \(A=3.14\times25\).

Step4: Multiply

\(3.14\times25=(3 + 0.14)\times25=3\times25+0.14\times25=75 + 3.5=78.5\)

Answer:

\(78.5\) square yards