Question

name emma palma two - dimensional figures · practice example 1 find the perimeter or circumference and area of each fi centimeter. round answers to the nearest tenth, if nec 1. a(5, 3) b(2, 1)

Explanation:

Step1: Find the radius

Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ to find the distance between the center $A(5,3)$ and a point on the circle $B(2,1)$. Here $x_1 = 5,y_1 = 3,x_2=2,y_2 = 1$. So $r=\sqrt{(2 - 5)^2+(1 - 3)^2}=\sqrt{(-3)^2+(-2)^2}=\sqrt{9 + 4}=\sqrt{13}\approx3.6$ cm.

Step2: Calculate the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Substitute $r\approx3.6$ into the formula, $C=2\pi(3.6)\approx2\times3.14\times3.6 = 22.6$ cm.

Step3: Calculate the area

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r\approx3.6$ into the formula, $A=\pi(3.6)^{2}\approx3.14\times12.96 = 40.7$ $cm^{2}$.

Answer:

Circumference: $22.6$ cm, Area: $40.7$ $cm^{2}$