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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)
25
O
IT square units
O 10 square units
O 255 square units
O 57 square units

Respuesta :

karkiemmanuel05

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]

DᴀʀᴋPᴀʀᴀᴅᴏx

The Area of the circle will be :

  • [tex] \dfrac{25}{4} \pi =6.25 \pi\: \: \: \: unit {}^{2} [/tex]

  • [tex] \approx19.625 \: \: \: unit {}^{2} [/tex]

solution is in attachment !

Ver imagen DᴀʀᴋPᴀʀᴀᴅᴏx

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