Question

Please respond asap!!!

Answer 1

Difference = 20.47 square units

Explanation:

Points to remember

Area of circle = πr²

Where r - Radius of circle

Area of triangle = bh/2

Where b - Base and h- Height

It is given a circle with radius 3 units

And a right angled triangle with angles 30, 60 and 90 and hypotenuse = 6 units

To find the area of circle

Here r = 3 units

Area = πr²

= 3.14 * 3 * 3

= 28.26 square units

To find the area of triangle

Here sides are in the ratio Base : Height : hypotenuse = 1 : √3 : 2

= Base : Height : 6

= 3 : 3√3 : 6

Base b = 3 and height h = 3√3

Area = bh/2

= (3 * 3√3)/2

= 7.79 square units

To find the difference

Difference = 28.26 - 7.79

= 20.47 square units

Answer 2

`9(\pi - ( √(3) )/(2) )`

Approximately, A=20

EXPLANATION

The circle has radius r=3 units.

The height of the triangle is ,

`h = 6 \cos(60 \degree) = 3`

The base of the triangle is

`b = 6 \sin(60 \degree) = 3 √(3)`

The area of the triangle is

`(1)/(2) bh`

`= (1)/(2) * 3 √(3) * 3`

`= (9)/(2) √(3)`

The area of the circle is

`\pi {r}^(2)`

`= {3}^(2) \pi`

`= 9\pi`

The difference between the area of the circle and the triangle is

`9\pi - (9)/(2) √(3) = 9(\pi - ( √(3) )/(2) )`