A circle with radius \pink{6}6start color #ff00af, 6, end color #ff00af has a sector with a central angle of \purple{48^\circ}48 ∘ start color #9d38bd, 48, degrees, end color #9d38bd. What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal rounded to the nearest hundredth.

Therefore,

The area of the sector is 15.09 unit².

Step-by-step explanation:

Given:

Circle with,

radius = r = 6 unit

central angle = θ = 48°

pi = 3.143

To Find:

Area of sector = ?

Solution:

If  'θ' is in degree the area of sector is given as

Substituting the values we get

rounded to nearest hundredth

Therefore,

The area of the sector is 15.09 unit².

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this