Question

7. Find the length of a arc if the
radius is 14cm and area of
corresponding sector is 56 square cm?.​

Answer 1

Answer:

154squarecm

Step-by-step explanation:

10th

Maths

Areas Related to Circles

Circumference and Area of Circle

Find the area of a sector o...

MATHS

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Asked on December 20, 2019 by

Vedha Sarkar

Find the area of a sector of a circle with radius 14 cm, if the length of the corresponding arc is 22 cm.

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ANSWER

We have,

Radius of circle=14cm.

Length of arc=22cm.

Using formula,

Angle=

arc

radius

Now,

Angle=

14

22

Angle=

2×7

22

Angle=

2

π

(π=

7

22

)

Angle=θ=

2

π

So,

Area of sector =

360

o

θ

×πr

2

=

360

o

90

o

×

7

22

×14×14

=

4

1

×22×2×14

=22×7

=154sq.cm.

Hence, this is the answer.