Question

The stained glass circle-head window has a 2-in. wide frame.The grills divide the semicircular glass pane into four congruent regions.
a. What is the area of the blue region?
b. What is the outside perimeter of the window frame?
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Answer 1

1. A) The diameter is 6. The radius is 3. For the half of the orange circle.
The area of the half of the small orange circle is = pi*r*r = pi*3*3.
The diameter is 24. The radius is 12.
The area of the half of the light orange circle and the other colors is = pi*r*r = pi*12*12
The area of dark orange, light blue, purple and green figures = pi*12*12 – pi*3*3 = 135*pi
To get the area of the blue figure we need to divide 135*pi into ¼ and you will get the area of the blue figure.
The area of the blue figure =( ¼ )*135*pi *(1/2) = ¼ *1/2 = 1/8
The area of the blue figure is = 135pi / 8
B) outside perimeter of the window frame = 28 +pi*14 = 71.98

Answer 2

is that the correct answer

Answer 3

It doesn't look correct, and you've done a lot of work that is unnecessary. Plan it out before, and you can save work.

This is what your blue region looks like
You only need the area of region 1.

The entire thing (1 and 2) make up 1/8th of a circle. Since you only want the area of region 1, find the area of 1/8th of the bigger circle, and subtract the area of 1/8th of the smaller circle.

Answer 4

how would I find the measurements

Answer 5

The outer circle has radius 12 in. Inner circle has radius 3 in.

Just need to find 1/8th the area of the outer, and subtract 1/8th the area of the inner.

Answer 6

12 =1.5
3= 0.375

Answer 7

What? Show proper work.

Answer 8

12 = 12/1 * 1/8 = 12/8 =1 1/2 = 1.5
3 = 3/1*1/8 = 3/8 = 0.375

Answer 9

They are circles. It seems you've forgotten that...

Answer 10

pi

Answer 11

The outer circle has radius 12 in. Inner circle has radius 3 in.

Find 1/8th the area of the outer circle, and subtract 1/8th the area of the inner circle.

Show all your work clearly.

Answer 12

12*1/8*pi
2 - 1/8*pi

Answer 13

Have you forgotten how to find the area of a circle...?

Answer 14

area of a circle is = r*pi

Answer 15

r^2 *pi

Answer 16

The outer circle has radius 12 in. Inner circle has radius 3 in.

Find the area of the outer circle, then find 1/8th of that

Find the area of the inner circle, then find 1/8th of that

Find the difference.

Answer 17

12^2*pi =452.389342117 multply by 1/8 = 56.55
3^2 pi =28.2743338823 multiply by 1/8 = 3.53

Answer 18

56.55- 3.53 = 53.02