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In the diagram, A, B and C are points on the circumference of the circle with centre

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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.

Transcribed Image Text:

A 0 B Ө C

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ANSWER Where we want to find the value of that satisfies the condition Area of sector ABC 38 Area of ...View the full answer


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