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7. Mensuration
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Q1 of 52 Page 154

Radius of a circle is 10 cm. Measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (π = 3.14)

Radius of circle, r = 10 cm



Angle made between the arc ,θ = 54°




⇒ Area of sector = 47.1 sq. cm


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2

The radii of ends of a frustum are 14 cm and 6 cm respectively and its height is 6 cm. Find its

i) Curved surface area


ii) Total surface area


iii) Volume

3

The circumferences of circular faces of a frustum are 132 cm and 88 cm and its height is 24 cm. To find the curved surface area of the frustum complete the following activity.


Circumference1 = 2πr1 = 132



Circumference2 = 2πr2 = 88



Slant height of frustum,



Curved Surface area of frustum = π(r1 + r2)l


2

Measure of an arc of a circle is 80 cm and its radius is 18 cm. Find the length of the arc. (π = 3.14)

3

Radius of a sector of a circle is 3.5 cm and length of its arc is 2.2 cm. Find the area of the sector.

Questions · 52
7. Mensuration
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