Question

Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the area of Kylie’s circle than the area of Paige’s circle? Use 3.14 for Pi and round to the nearest whole number.

a
22 centimeters squared

b
88 centimeters squared

c
173 centimeters squared

d
351 centimeters squared

Answer 1

a.) 22 centimeters squared

Explanation:

Answer 2

A. 22 cm²

Explanation:

First, find the area of the two circles.

Next, subtract the area of Paige's circle from the area of Kylie's circle.

Kylie:

A = πr²

The radius of Kylie's circle can be found by dividing the diameter by 2.

8/2=4 cm

Therefore, π4² = the area of Kylie's circle.

To solve:

1. π4²

2. 3.14 · 4 · 4 = 50.27 cm²

3. 50.27 cm² rounded to the nearest whole number is 50 cm².

Paige:

A = πr²

The radius of Paige's circle is 3 cm.

To solve:

1. π3²

2. 3.14 · 3 · 3 = 28.27 cm²

3. 28.27 cm² rounded to the nearest whole number is 28 cm².

Now, subtract the area of Paige's circle from the area of Kylie's circle.

50 - 28 = 22

Kylie's circle is 22 cm² bigger than Paige's circle.