Question

Line AB touches the circle at point A. O- the center of the circle OBA = 36°, OC = 10. Calculate the area of ​​the shaded part.

Answer 1

Answer:

15pi

Step-by-step explanation:

by definition of a tangent line AB is perpendicular to OA, so its 90 degrees. Thus, you can use angleOBA to find angleBOA(54). cs of vertical angles angle EOD is also 54 degrees.

the formula to find the area of a sector is the angle of the sector/360 *πr^2. the angle of the sector is 54. Plugging it in we get 15π