Find the area of a sector with a central angle of 7.2 radians and a radius of 14 units Please include steps

Step-by-step explanation:

Since we are given the central angle in radians, we should use this formula for the sector area:

where r is the radius and θ is the angle in radians.

The radius is 14 units and the angle is 7.2 radians.

Substitute the values into the formula.

Solve the exponent.

Multiply by 1/2 or divide by 2.

The area of the sector is 705.6 square units.

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4