Question

Frank is an architect. He wants to make a circular tile mosaic with a distinct border on the floor of the lobby. He lays out the mosaic design to have a diameter of 1,220 millimeters and finds the circumference to be approximately 3,830.8 millimeters as shown below.What can Frank do to improve the accuracy of measurement of the circumference? A. Use diameter instead of radius to find circumference. B. Remeasure the radius using meters. C. Remeasure the radius using a yard stick. D. Use 3.14159 for π .

Answer 1

D. Use 3.14159 for π.

Explanation:

Given a circle with diameter, d, the circumference is calculated using the formula:

`C=\pi d`

Given that d = 1220 millimeters.

When π = 3.14

`C=3.14(1220)=3830.8\; mm`

When π = 3.14159

`C=3.14159(1220)=3832.7398\; mm`

Therefore, for Frank to improve the accuracy of measurement of the circumference, he can use 3.14159 for π.

Option D is correct.