Question

9. The endpoints of a diameter of a circle are A (2,1) and B(5,5). Find the area of the circle in terms of . (1 point)

Answer 1

Answer:

Area of the circle is 6.25π sq.unit

Step-by-step explanation:

The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴

Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]

Answer 2

The Area of the circle will be :

• $\dfrac{25}{4} \pi =6.25 \pi\: \: \: \: unit {}^{2}$

• $\approx19.625 \: \: \: unit {}^{2}$

solution is in attachment !