If the area of a sector is 100 ft^2 and the radius of the circle is 22 ft what is the central angle measure for that sector and what is the length of the arc

L= 9.086 feet

Step-by-step explanation:

Area of a Circular Sector

Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by

And the length of the arc is:

We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:

Solving for θ:

The arc length is:

L= 9.086 feet

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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step-by-step explanation:

i wish i could u