A circle has a sector with area \dfrac{24}{5}\pi 5 24 πstart fraction, 24, divided by, 5, end fraction, pi and central angle of \purple{48^\circ}48 ∘ start color #9d38bd, 48, degrees, end color #9d38bd. What is the area of the circle?

Question:

A circle has a sector with area 24π/5 and central angle of 48°.

What is the area of the circle?

The area of the circle is 36π

Step-by-step explanation:

Given

Area of sector = 24π/5

Central angle, θ = 48°

Required:

Area of the circle

First we need to calculate radius of the circle.

This can be solved from area of a sector

Area of a sector = θ *

By substituting 24π/5 for area and 48° for θ, we have

Multiply both sides by

36π = πr²

Divide both sides by π

36 = r²

Take square root of both sides

√36 = √r²

6 = r

Hence, radius = 6

Then, the area of the circle can now be calculated.

Area = πr²

Substitute 6 for r

Area = π * 6²

Area = π * 36

Area = 36π

Hence, the area of the circle is 36π

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4