Find the area of the green sector if m∠ A = π/6 and the circle has a radius of 10 inches. A) 25π B) π/6 C) 25π/ 3 D) 5π/6
2 answers:
Where is the green sector?
I will assume that the central angle is pi/6 and that the radius is 10 in.
The area of the whole circle is pi*100 units^2.
The green sector has an area of
pi/6
-------- times the area of the entire circle = (1/12) of pi*100 units^2.
2pi
This comes to pi*(100 units^2)
------------------------ = (25/3) pi units^2. That's C.
12
<u>Answer:</u>
25π/2
<u>Step-by-step explanation:</u>
You can set up a proportion:
area sector
/area : circle
= A
/360 °
In this case :
x
/100π = 45
/360
x = 1/8 100π = 25π/2
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