7. Find the length of a arc if the
radius is 14cm and area of
corresponding sector is 56 square cm?.
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0
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.
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