2. QOR is a sector of radius 5 cm and has an arc length of 8 cm. S is a point on OR such that OS=3 cm. Find 5 cm a) ZQOS in radians, 8 cm b) the perimeter of the shaded region, 0. 3 cm c) the area of the shaded region. R

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.CR: Chapter Review
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2.
QOR is a sector of radius 5 cm and has an arc length of 8 cm. S is a point on OR
such that OS = 3 cm. Find
a)
ZQOS in radians,
5 cm
8 cm
b) the perimeter of the shaded region,
c) the area of the shaded region.
3 cm
R.
The diagram shows a circle, centre O, of radius 10 cm. The line AC is perpendicular to the
radius OA, and the line OC intersects the circle at B. Given that 2OCA = 0.5 radians,
3.
calculate
(a) the length of AC,
(b) the area of the shaded region,
(c) the perimeter of the shaded region.
0.5 radians
10 cm
A
Transcribed Image Text:2. QOR is a sector of radius 5 cm and has an arc length of 8 cm. S is a point on OR such that OS = 3 cm. Find a) ZQOS in radians, 5 cm 8 cm b) the perimeter of the shaded region, c) the area of the shaded region. 3 cm R. The diagram shows a circle, centre O, of radius 10 cm. The line AC is perpendicular to the radius OA, and the line OC intersects the circle at B. Given that 2OCA = 0.5 radians, 3. calculate (a) the length of AC, (b) the area of the shaded region, (c) the perimeter of the shaded region. 0.5 radians 10 cm A
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