CarissaKuehl
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If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If necessary, round the answer to two decimal places.

r = 14 feet, A = 69 square feet, θ = ?

Respuesta :

Here, θ/360 * πr² = 69
θ/360 * 3.14 * (14)² = 69
θ/360 * 615.75 = 69
θ = 69*615.75 /360
θ = 40.36

In short, Your Answer would be 40.36 degrees

Hope this helps!

A circle is a curve sketched out by a point moving in a plane. The measure of the central angle of the sector of the circle is 40.34°.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The area of a sector of a circle is given by the formula,

A = πr²×(θ/360°)

Given the area is 69ft², the radius is 14ft, therefore, the measure of the central angle can be written as,

69 = π×(14)²×(θ/360°)

θ = 40.34°

Hence, the measure of the central angle of the sector of the circle is 40.34°.

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