Question

Type the correct answer in the box. Assume that I = 3.14, and round your answer to the nearest integer.

Answer 1

Answer:

$648\ yd$

Step-by-step explanation:

step 1

Find the circumference of the complete circle

The circumference is equal to

$C=2\pi r$

we have

$r=35\ yd$

substitute

$C=2\pi(35)$

$C=70\pi\ yd$

step 2

Find the measure of the arc length for a central angle of 280 degrees

Remember that the circumference subtends a central angle of 360 degrees

so by proportion

$\frac{70\pi}{360}=\frac{x}{280}\\ \\x=280*(70\pi )/360\\ \\x=54.44\pi\ yd$

step 3

Find the perimeter of the playground

$P=54.44\pi+45=54.44*3.14+45=215.96\ yd$

Multiply by 3

$215.96*(3)=647.87\ yd$

Round to the nearest integer

$647.87=648\ yd$