A circle has an area equal to 25π cm2 . Its diameter AB coincides with one of the sides of a triangle ACB whose vertex C lies on the circle. Triangle ACB has an area equal to 15 cm2 . What is the area of the portion of the circle which is outside the triangle in cm2?
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Answer:
Area of circle = 25pi
Pi r^2 = 25pi
r = 5cm..
d = 10cm..
Step-by-step explanation:
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Area of circle = 25pi
Pi r^2 = 25pi
r = 5cm..
d = 10cm..
Area of triangle = 11...
Since one of the side is the diameter let it be the base..
The vertex c lies on the circle..So the triangle is a right angled triangle...
b = d = 10cm..
So
Area = 1/2 * b * h
We dont know h...
h = 11 * 2 / 10 = 2.2..
Pythagoras theorem...
Hypotenuse = Diameter = 10...
so
Other side = 10^2 - 2.2^2) = 9.755cm..
so
Perimeter = 9.755 + 2.2 + 10 = 21.955 = 22cm......
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