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.

Answer 1

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▹ Answer

Kylie's circle is approximately 22 cm larger than the area of Paige's circle.

▹ Step-by-Step Explanation

Kylie's Circle - 8 cm diameter → 4 cm radius

Paige's Circle - 3 cm radius

Kylie's Circle

A= πr²

A = 3.14(4)²

A = 50.24 ≈ 50 cm²

Paige's Circle

A = πr²

A = 3.14(3)²

A = 28.26 ≈ 28 cm²

50 - 28 = 22 cm

Hope this helps!

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Answer 2

Hello!

Answer:

$\boxed{ \bf The~area~of~Kylie's~circle~is~approximately~22~cm^2~larger~than~Paige's.}$

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Explanation:

We'll start by calculating the areas of Kylie and Paige's circles.

Kylie's Circle:

A = πr²

Since we need the radius for the formula, we must divide the diameter in half to get it.

r = d ÷ 2

r = 8 ÷ 2

r = 4

Now, let's substitute our values into the formula.

A = 3.14 × 4²

A = 3.14 × 16

A = 50.24 cm²

Paige's Circle:

A = πr²

A = 3.14 × 3²

A = 3.14 × 9

A = 28.26 cm²

We can round both of these areas to the nearest whole number. Then, we must subtract Paige's circle area by Kylie's.

50 - 28 = 22