Question

In a circle of radius 6 m,a chord is drawn. if the chord subtends an angle of 37° at the circumference, find the chord length. assume sin 37°=3/5​

Answer 1

Answer:

Given Information:-

Sides of the ∆ :-

First Side = 8 centimeters

Second Side = 11 centimeters

Perimeter of the ∆ = 32 centimeters

To Find:-

Area of the triangle.

SOLUTION:-

Given in this question is a Scalene Triangle.

There is an appropriate formulae for finding the area of certain ∆(s).

Heron's Fomula:-

$\boxed{ \sqrt{s(s - a)(s - b)(s - c)} \ unit \ sq.}$

where,

a, b, c = Sides of the ∆

s = Semi perimeter of the ∆

Hence,

Third side will be:-

32 - (8 + 11)

= 32 - 19

= 13 cms

&

Semi Perimeter = 32/2 = 16 cms

_______...

Therefore, According to the Formula,

$= \sqrt{16(16 - 8)(16 - 11)(16 - 13)} \ {cm}^{2}$

(We have put the values of s, a, b, and c)

$= \sqrt{16(8)(5)(3)} \ {cm}^{2}$

(Result after Operation of {-} in brackets)

$= \sqrt{(40)(48)} \ {cm}^{2}$

(Multiplied,

16 with 3

8 with 5)

$= \sqrt{1920} \ {cm}^{2}$

(Multiplied 40 with 48)

$= 43.81 \ {cm}^{2}$

$\text{(Solution)}$