Question

a of a circle a = πr2. show your work. 2 26 cm r - 13 cm write your answer using π. 4 8 ft 6 14 in.

Explanation:

Step1: Recall area formula

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

Step2: Solve for problem 2

Given diameter $d = 26$ cm, radius $r=\frac{d}{2}=13$ cm. Substitute $r = 13$ into the formula: $A=\pi\times(13)^{2}=169\pi$ $cm^{2}$.

Step3: Solve for problem 4

Given radius $r = 8$ ft. Substitute $r = 8$ into the formula: $A=\pi\times(8)^{2}=64\pi$ $ft^{2}$.

Step4: Solve for problem 6

Given diameter $d = 14$ in, radius $r=\frac{d}{2}=7$ in. Substitute $r = 7$ into the formula: $A=\pi\times(7)^{2}=49\pi$ $in^{2}$.

Answer:

Problem 2: $169\pi$ $cm^{2}$
Problem 4: $64\pi$ $ft^{2}$
Problem 6: $49\pi$ $in^{2}$