Question

jiro is covering a circular lawn with a layer of soil. the lawn has a diameter of 26 feet. approximately how much of the lawn does jiro need to cover with a layer of soil? solve on paper. then, enter your answer on zearn. remember, you can use 3.14 as an approximation for π. consider writing your answer to the hundredths place. jiro needs to cover approximately square feet with a layer of soil.

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 26 \) feet, so \( r=\frac{d}{2}=\frac{26}{2}=13 \) feet.

Step2: Use the area formula

The area formula of a circle is \( A=\pi r^{2} \). Substitute \( r = 13 \) and \( \pi=3.14 \) into the formula. Then \( A = 3.14\times13^{2} \). First calculate \( 13^{2}=169 \). Then \( A=3.14\times169 \).

Step3: Calculate the product

\( 3.14\times169=(3 + 0.14)\times169=3\times169+0.14\times169=507+23.66 = 530.66 \) square feet.

Answer:

\( 530.66 \)