Question

Need Help ASAP

Consider the circles A, B, C, and D.

Four circles A, B, C, and D are shown. Circle A has a diameter of 8 feet. Circle B has a diameter of 10 inches. Circle C has a diameter of 2 feet. Circle D has a radius of 50 inches.

a. Without calculating, circle
has the greatest circumference.
Question 2
Explain.

Answer 1

Circle D

Explanation:

The circumference of a circle can be calculated by multiplying the diameter by π. Therefore, the circle with the greatest circumference will be the circle with the greatest diameter.

The only circle for which we have been told the radius is Circle D. The diameter of a circle is twice the radius, therefore the diameter of Circle D is 50 in × 2 = 100 in

There are 12 inches in 1 ft.

Therefore, the circumferences of the circles in order from smallest to largest is: B < C < A < D

Proof

Diameters

• Circle A = 8 ft = 96 in
• Circle B = 10 in
• Circle C = 2 ft = 24 in
• Circle D = 2 × 50 in = 100 in