The radio of two concentric circles with centre o are 7cm and 14cm respectively and
Answers
The complete question is:
Find the area of the shaded region, if radii of the two concentric circles with center O are 7cm and 14cm respectively and ∠ AOC=40°
154/3 cm^2 or 51.33 cm^2 is the area of the shaded region.
Step-by-step explanation:
Given that,
O being the center of concentric circles,
Let AOC be the bigger sector and BOD be the smaller sector
r = OB = 7cm
R = OA = 14cm
∠AOC(x) = 40°
To find,
Area of the shaded region = ?
Procedure:
As we know,
Area of a sector = x/360 * π * r^2
Using this formula,
Area of the shaded region = Area of the sector AOC - Area of the sector BOD
= x/360 * π * R^2 - x/360 * π * r^2
= x/360 * π * (R^2 - r^2)
by putting the values,
= 40/360 * π * (14^2 - 7^2)
= 1/9 * 22/7 * (196 - 49)
= 1/9 * 22/7 * 147
= 1/9 * 22 * 21
= 154/3 cm^2 or 51.33 cm^2
Thus, the area of the shaded region is 154/3 cm^2 or 51.33 cm^2.
Learn more: Find the area of the shaded region
brainly.in/question/24441154