Question

find the circumference and area of the figure if each unit on the graph measures 1 centimeter. round answers to the nearest tenth, if necessary. p(-3, -5) q(2, -5) circumference = cm area = cm² need help with this question? get a hint

Explanation:

Step1: Find the radius

The distance between the center $P(-3,-5)$ and a point on the circle $Q(2,-5)$ is the radius. Using the distance formula for points with the same $y -$coordinate $d=\vert x_2 - x_1\vert$, here $r=\vert2-(-3)\vert = 5$ cm.

Step2: Calculate the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Substituting $r = 5$ into the formula, we get $C=2\pi\times5=10\pi\approx 31.4$ cm.

Step3: Calculate the area

The formula for the area of a circle is $A=\pi r^{2}$. Substituting $r = 5$ into the formula, we get $A=\pi\times5^{2}=25\pi\approx 78.5$ $cm^{2}$.

Answer:

Circumference = $31.4$ cm
Area = $78.5$ $cm^{2}$