Area of the sector = 1/2 * r^2 * theta where theta is the angle subtended by the arc at the center ( in radians)
In this case m < theta = 360 - 235 = 125 degrees or 2.182 radians
So, the area of shaded area = 1/2 * 20^2 * 2.182 = 436.4 in^2
Answer:
18
Step-by-step explanation:
From the rectangle, M O = NP
4x - 10 = 2x+4
4x-2x = 4 + 10
2x = 14
x = 14/2
x = 7
SInce MO and NP are the diagonal
Length of diagonal = 4x- 10
Length of diagonal = 4(7) - 10
Length of diagonal = 28 - 10
Length of diagonal = 18
hence the required length is 18
D. 4.81 x 10^13
Move the decimal to the right 13 times, because when you multiply by 10, you make the number bigger, when you divide you move the decimal to the left to make the number smaller.
48,100,000,000,000
4 x 2.95 = 11.80$
4 x 1.59 = 6.36$
11.80 + 6.36 = 18.16 $
20 - 18.16 = 1.84
Mr. Robinson will get $1.84 in change
Sqrt24 / sqrt12 = sqrt(24/12) = sqrt 2