Area and Volume of Sector. thanks The diagram shows a circle with centre O and radius 6cm. 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 shaded segment PRQ. (i) Find the area bounded by the curve y=arccosx and t

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Area and Volume of Sector. thanks

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.

O A BC

is rhombus and

PRQ

is an arc of another circle with centre

O

. Calculate the area shaded segment

PRQ

. (i) Find the area bounded by the curve

y = arccos x

and the axes. (ii) The region enclosed by

y = arccos x, y = \frac{π}{3}, y = \frac{π}{6}

and the

y

-axis is rotat

2 π

radians about the

y

-axis. Find the exact volume of the solid generated.

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