Question

d to the nearest hundredth. 2. 26 yd

Explanation:

1. Explanation:

• Step 1: Identify the formula for the area of a circle
• The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle. Given the diameter \(d = 26\) yards, the radius \(r=\frac{d}{2}\). So, \(r=\frac{26}{2}=13\) yards.
• Step 2: Calculate the area
• Substitute \(r = 13\) into the area - formula: \(A=\pi r^{2}=\pi\times(13)^{2}\).
• First, calculate \((13)^{2}=169\). Then \(A = 169\pi\).
• Using an approximation of \(\pi\approx3.14159\), we have \(A\approx169\times3.14159\).
• \(169\times3.14159 = 530.93871\).
• Step 3: Round to the nearest hundredth
• Rounding \(530.93871\) to the nearest hundredth, we look at the thousandths - place. The digit in the thousandths - place is 8. Since \(8\gt5\), we round up the hundredths - place digit. So, \(A\approx530.94\) square yards.

1. Answer:

\(530.94\) square yards

Answer:

1. Explanation:

• Step 1: Identify the formula for the area of a circle
• The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle. Given the diameter \(d = 26\) yards, the radius \(r=\frac{d}{2}\). So, \(r=\frac{26}{2}=13\) yards.
• Step 2: Calculate the area
• Substitute \(r = 13\) into the area - formula: \(A=\pi r^{2}=\pi\times(13)^{2}\).
• First, calculate \((13)^{2}=169\). Then \(A = 169\pi\).
• Using an approximation of \(\pi\approx3.14159\), we have \(A\approx169\times3.14159\).
• \(169\times3.14159 = 530.93871\).
• Step 3: Round to the nearest hundredth
• Rounding \(530.93871\) to the nearest hundredth, we look at the thousandths - place. The digit in the thousandths - place is 8. Since \(8\gt5\), we round up the hundredths - place digit. So, \(A\approx530.94\) square yards.

1. Answer:

\(530.94\) square yards