Problem

016.2 Arc Length and Radian Measure - REVISION
Question The dilagram shows the plan for putting a decorative trim around a corner desk. The trim will be 4inch high around the perimeter of the desk. The curve is one quarter of the circem high around the perimeter of the desk. The curve is one quarter of the circumference of a circle. Find the length of trim needed to the nearest half foot.
The length of trim needed is feet.
Question 19 of 21

Answer

Expert–verified
Hide Steps
Answer

Round the curve length in feet to the nearest half foot: \(\boxed{0.5}\)

Steps

Step 1 :Find the circumference of the circle using the formula C = 2 * pi * r, where r is the radius (4 inches): C = 2 * \(\pi\) * 4

Step 2 :Divide the circumference by 4 to get the length of the curve: \(\frac{C}{4}\)

Step 3 :Convert the curve length from inches to feet: \(\frac{curve\_length}{12}\)

Step 4 :Round the curve length in feet to the nearest half foot: \(\boxed{0.5}\)

link_gpt