A circle has a sector with area \dfrac{45}{4}\pi 4 45 πstart fraction, 45, divided by, 4, end fraction, pi and central angle of \purple{\dfrac{9}{10}\pi} 10 9 πstart color #9d38bd, start fraction, 9, divided by, 10, end fraction, pi, end color #9d38bd radians . What is the area of the circle?

Therefore,

Step-by-step explanation:

Given:

( in Radians)

To Find:

Area of Circle = ?

Solution:

If "θ" is measured in radians then area of sector is given by,

Where,

θ = Central angle in radians

r =radius of a circle

Substituting the values we get

On solving we get

Now, Area of Circle is given by,

Substituting the values we get

Therefore,

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap