Question

length of an arc of a circle of radius 14 cm is 17.6cm the area of the corresponding sector is​

Answer 1

Answer:

Heyy Armyyyy!

Borahaee

Answer 2

$\spadesuit \: \sf{\underline {\underline {Question}}}$

Length of an arc of a circle of radius 14 cm is 17 .6 cm the area of the corresponding sector :-

Answer

$= \sf123.2 \: {cm}^{2}$

Solution

Given , length of an arc ( s ) = 17 . 6 cm

Radius of Circle = 14 cm

Now , we have to calculate the area of sector , we know that

$\sf \bf {Area \: of \: Sector }\: = \sf \dfrac{1}{2} \times r \times s$

$\sf \bf {Area \: of \: Sector }\: = \sf \dfrac{1}{ \cancel2} \times \cancel{14} \times 17.6 = 7 \times 17.6 \\ = \rm 123.2 \: {cm}^{2}$

Conclusion

Therefore , 123.2 cm² is the corresponding area of Sector.

$\rule{190pts}{2pts}$

Note

In order to solve this question you can also find the angle of Sector with the help of formula ∅ = length of an arc (s) / radius (r) ; then after finding angle use the another formula for area of Sector i.e. 1/2 r²∅ remember that in circular system the unit of angle is radian ( rad = 180 ° )

The formula which is applied above to evaluate the value is a derived formula.

$\rule{180pts}{2pts}$

Key Notes

Their is a difference between Sector and Segment :

Sector is the area of circle bounded by two radius and an arc while Segment is that area bounded by arc and a cord .

Additionally ,

There are two methods for measurement of an angle :-

1. English System (Centisimal System)
2. Circular System.

Thankyou