Question

The center of the circle is (3,2) and any point on the circle is (-5,6) then find the area of circle

Answer 1

Given :

• A ( 3 , 2 )
• A ( 3 , 2 ) B ( - 5 , 6 )

To Find :

• Area of the circle

Solution :

First we have to find the distance of AB

$\large\tt Distance = \sqrt{ {(x_2 -x_1) }^{2} +{(y_2 -y_1) }^{2} } \\ \\ \tt \implies\sqrt{ {( - 5 -3) }^{2} +{(6 -2) }^{2} } \\ \\ \tt \implies\sqrt{ {( 8) }^{2} +{(4) }^{2} } \\ \\ \tt \implies \sqrt{64+16} \\ \\ \tt \implies \sqrt{80} \\ \\\tt \implies 4\sqrt{5}$

Distance of circle is equal to Radius of circle

• Radius of circle = 4√5 cm

$\Large \tt Area_{circle} = \pi {r}^{2} \\ \\ \tt \implies \frac{22}{7} \times {(4 \sqrt{5}) }^{2} \\ \\ \tt \implies \frac{22}{7} \times 16 \times 5 \\ \\ \tt \implies \frac{1760}{7} \\ \\ \tt \implies251.4 \\ \\ \large \underline{\bf Area \: of \: circle \: is \: 251.4 \: {cm}^{2} }$

Answer 2

Question :-

The center of the circle is (3,2) and any point on the circle is (-5,6) then find the area of circle.

To Find :-

• Area of the circle.

Solution :-

Area = πr²

= $\frac{22}{7}$ x (4√5)²

= $\frac{22}{7}$ x 80

= 22$\times \frac{80}{7}$

= $\frac{1760}{7}$

= 251.4 square units

∴ Area = 251.4 square units.