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3. a pizza has a radius of 6 cm. what is its area? a. $36\\pi\\ \\mathr…

Question

  1. a pizza has a radius of 6 cm. what is its area?

a. $36\pi\\ \mathrm{cm}^2$
b. $72\pi\\ \mathrm{cm}^2$

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) of a circle is \( A = \pi r^2 \), where \( r \) is the radius of the circle.

Step2: Substitute the given radius into the formula

Given that the radius \( r = 6 \) cm. Substituting \( r = 6 \) into the formula \( A = \pi r^2 \), we get \( A=\pi\times(6)^2 \).

Step3: Calculate \( (6)^2 \)

\( 6^2 = 36 \), so \( A = 36\pi \) \( \text{cm}^2 \).

Answer:

a. \( 36\pi \text{ cm}^2 \)