Question

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34) A circular sheet of radius 18 centimetre is divided into 9 equal sectors.
a) Find the measure of the central angle of a sector.
b) Find the slant height of a cone which can be made by a sector.
c) Find the lateral surface area of the cone thus formed.
SECTION_ Cach Quartie​

Answer 1

Answer:

sorry about that keh............

Answer 2

Answer with Step-by-step explanation:

Radius of circle,r=18 cm

Number of equal sectors=9

a.Complete angle=360 degrees

Central angle of  a sector=$\frac{360}{90}=40^{\circ}$

b.Radius of circle=Slant height of cone

Slant height of cone=18 cm

c.Lateral surface area of cone=Area of each sector

Area of each sector=$\frac{1}{9}\pi r^2$

$\pi=\frac{22}{7}$

Area of each sector=$\frac{1}{9}\times \frac{22}{7}\times (18)^2=113.1cm^2$

The lateral surface area of the cone=$113.1cm^2$

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