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The diagram shows a circle with centre O and radius 6 cm. PBQ is a tangent to circle at B and OP and OQ intersect the circle at A and C respectively. OABC is rhombus and PRQ is an arc of another circle with centre O. Calculate the area c shaded segment PRQ. R Q B P C A 6 cm O

The diagram shows a circle with centre O and radius 6 cm. PBQ is a tangent to circle at B and OP and OQ intersect the circle at A and C respectively. OABC is rhombus and PRQ is an arc of another circle with centre O. Calculate the area c shaded segment PRQ. R Q B P C A 6 cm O

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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a) b) The diagram shows a circle with centre O and radius 6 cm. PBQ is a tangent to circle at B and OP and OQ intersect the circle at A and C respectively. OABC is rhombus and PRQ is an arc of another circle with centre O. Calculate the area c shaded segment PRQ. (i) (ii) R Q B P A 6 cm O Find the area bounded by the curve y = arccos x and the axes. T TU The region enclosed by y = arccos x, y = = y and the y-axis is rotat 6 3 2π radians about the y-axis. Find the exact volume of the solid generated. 3
Transcribed Image Text:a) b) The diagram shows a circle with centre O and radius 6 cm. PBQ is a tangent to circle at B and OP and OQ intersect the circle at A and C respectively. OABC is rhombus and PRQ is an arc of another circle with centre O. Calculate the area c shaded segment PRQ. (i) (ii) R Q B P A 6 cm O Find the area bounded by the curve y = arccos x and the axes. T TU The region enclosed by y = arccos x, y = = y and the y-axis is rotat 6 3 2π radians about the y-axis. Find the exact volume of the solid generated. 3
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