Find the area of the green sector. use 3.14 for π and round to the nearest hundredth.

C)25/3π

Step-by-step explanation:

You can set up a proportion

area sector

area circle

=

A

2π

. In this case

x

100π

=

1

12

x =

1

12

100π =

25π

3

22.3838476568 in²

Step-by-step explanation:

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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25π/2

Step-by-step explanation:

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

Step-by-step explanation:

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

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

Area of ENTIRE circle = PI * radius^2
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


Double Check
Yellow Area = 5.8904862245 PLUS
Green Area =  22.3838476578   =
TOTAL = 28.2743338823

Even though there is no graphic
Sector Area = (Central Angle / 360) * PI * 10^2
Sector Area = (1/8) * 31.14159  = 3.89269875 square inches