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Chapter 1: Q43. (page 4)

The floor of a birdcage is a circle with a circumference of about 47.1 inches. What is the diameter of the birdcage floor?.

Short Answer

Expert verified

The diameter of birdcage is 15 inches.

Step by step solution

01

Step 1. Relation between the radius and circumference of a circle is.

The circumference C of a circle is equal to 2蟺times its radius. That is, C=2蟺r.

Where r is the radius of circle.

02

Step 2. Calculate the radius of the birdcage floor.

To find the radius of the birdcage, use the above formula of circumference and substitute 47.1 for C and simplify further for r as shown below:

47.1=2蟺rr=7.5inches

03

Step 3. Calculate the diameter of the birdcage floor.

Since the radius is half of the diameter, so to find the diameter of the birdcage, multiply the radius by 2 and solve further to get

d=2rd=27.5d=15inches

Therefore, the diameter of the birdcage is 15 inches.

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