Question

a segmental paver is installing a circular patio that has a radius of 12 feet. how much edging material will be needed for the circumference of the patio (to the nearest tenth)? (use 3.14 for pi.) a) 37.68 feet b) 75.4 feet c) 150.72 feet d) 452.16 feet

Explanation:

Step1: Recall the circumference formula of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius and \( \pi \) is given as \( 3.14 \), and \( r = 12 \) feet.

Step2: Substitute the values into the formula

Substitute \( r = 12 \) and \( \pi = 3.14 \) into the formula: \( C = 2\times3.14\times12 \)
First, calculate \( 2\times3.14 = 6.28 \), then \( 6.28\times12 = 75.36 \)

Step3: Round to the nearest tenth

Rounding \( 75.36 \) to the nearest tenth, we look at the hundredth place (6), which is greater than or equal to 5, so we round up the tenth place. \( 75.36\approx75.4 \)

Answer:

B) 75.4 feet