You can set up a proportion
. In this case
First you would find the area of sector (yellow). The formula is 75/360 x π x 3².
this is equal to 5.89048622548. Now the total circle area is 3²xπ = 28.2743338823. 28.2743338823 - 5.89048622548 = 22.3838476568 in²
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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
D) 25π/2 in²
The area of a sector of central angle θ and radius r is ...
... A = (1/2)r²θ
Your sector has central angle π/4 and radius 10 in, so has area ...
... A = (1/2)(10 in)²(π/4)
... A = 25π/2 in² . . . . matches selection D
the answer is 15/8 π in^2 in pi form
The answer is B.
The area of a circle is pi x r^2
If the diameter is 12, the radius is 6
3.14 x 36 = 113.04 - that is the area of the whole circle
Then you divide it by two because half of the circle is the green sectors.
113.04/2 = 56.52
The area is:
A = πR² 2π
A = x π/6
x = πR²/12
x = π.(10)²/12
x = 26.18 in²
Hope it helps x
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
times the area of the entire circle = (1/12) of pi*100 units^2.
This comes to pi*(100 units^2)
= (25/3) pi units^2. That's C.
Area = 3.14159 * 3^2
Area = 28.2743338823 square inches
Yellow Area = Circle Area * (75 / 360) = 28.2743338823 * 0.2083333333
Yellow Area = 5.8904862245 square inches
Green Area = Circle Area * (285 / 360) = 28.2743338823 * 0.7916666667 Green Area = 22.3838476578
Yellow Area = 5.8904862245 PLUS
Green Area = 22.3838476578 =
TOTAL = 28.2743338823
Sector Area = (Central Angle / 360) * PI * 10^2
Sector Area = (1/8) * 31.14159 = 3.89269875 square inches