In the diagram, A, B and C are points on the circumference of the circle with centre
Question:
In the diagram, A, B and C are points on the circumference of the circle with centre O and radius r. The shaded region, ABC, is a sector of the circle with centre C. Angle OCA is equal to θ radians.
The area of the shaded region is equal to 3/8 of the area of the circle.
a. Show that
b. Verify by calculation that θ lies between 0.8 and 1.2 radians.
c. Use the iterative formula
find the value of θ correct to 3 decimal places. Give the result of each iteration to 5 decimal places.
A 0 B Ө C
Step by Step Answer:
ANSWER Where we want to find the value of that satisfies the condition Area of sector ABC 38 Area of ...View the full answer
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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