Question

Graph the circle with center (−3, −3) that passes through (2, −3). Find the area in terms of π and to the nearest tenth. Use 3.14 for π.

Answer 1

$\fcolorbox{red}{blue}{Answer}$

78.5 units²

Step-by-step explanation:

$\textsf{\large{\underline{To find :-}}}$

The area of circle on graph

$\textsf{\large{\underline{Given :-}}}$

$\sf (x_1,y_1) = (-3,-3) \\ \sf (x_2,y_2) = (2,-3)$

$\textsf{ \huge{\underline{\underline{Solution :-}}}}$

We can see in the above question that we have been provided the center of thee circle and line of the circle passes through a point.

So to find the radius we have to find the distance between center of circle and the point from which line passes.

$\sf \blue{ Distance = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }$

Now substituting the required values

$\sf \implies\sqrt{ { \{2 - ( - 3) \}}^{2} + { \{ - 3 - ( - 3) \}}^{2} } \\ \\ \sf \implies \sqrt{ {(2 + 3)}^{2} + {( - 3 + 3)}^{2} } \\ \\ \sf \implies \sqrt{ {5}^{2} + {0}^{2} } \\ \\ \sf \implies \sqrt{25} \\ \\ \sf \implies 5 \: units$

So the radius will be 5 units

Now we will simply formula for area of circle

$\sf \green{ Area \: of \: circle = \pi {r}^{2} }$

Now substituting the required values

$\sf \hookrightarrow Area = 3.14 \times {5}^{2} \\ \\ \sf \hookrightarrow Area = 3.14 \times 25 \\ \\ \red{\boxed {\hookrightarrow \frak{78.5 \: {units}^{2} } }}$

Answer 2

Answer:

78.5

Step-by-step explanation: