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7. a gardener is planning a circular flower bed with a radius of 3 mete…

Question

  1. a gardener is planning a circular flower bed with a radius of 3 meters. what is the area of the flower bed?

a. ( 9pi \text{sq m} )
b. ( 18pi \text{sq m} )
c. ( 28pi \text{sq m} )
d. ( 4.5pi \text{sq m} )

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

Given \(r = 3\) meters. Substitute \(r = 3\) into \(A=\pi r^{2}\), we get \(A=\pi\times(3)^{2}\).

Step3: Calculate the value

\(\pi\times(3)^{2}=\pi\times9 = 9\pi\) square meters.

Answer:

A. \(9\pi\) sq m