The circle below has center S. Suppose that m OR = 44º. Find the following.
(a) m2 QPR =
(b) m2 QSR =

a) m∠QPR = 22°

b) m∠QSR = 44°

Step-by-step explanation:

central angle and inscribed angle

Given measure of arc QR = 44º

We should know the following:

The measure of arc equal to the central angle containing that arc

The measure of arc equal two times the inscribed angle containing that arc

According to the previous:

a) ∠QPR is an inscribed angle opposite to the arc QR

So, m arc QR = 2 m∠QPR

∴ ∠QPR = m arc QR/2 = 44/2 = 22°

b) ∠QSR is the central angle opposite to the arc QR

So, m arc QR =  m∠QSR

∴ m∠QSR = 44°

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

or