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If you have the arc length:

where:

L is the arc length.

R is the radius of the circle of which the sector is part.

Q: How to find a sector area in a circle if you have only the arc length?

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That would certainly do it.

fulse

Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].

It is found by: (sector area/entire circle area) times 360 in degrees

The area of the shaded region can be gotten by multiplying the area of the circle by the subtended angle of the sector.

Related questions

The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.

It depends on what information you have: the radius and the area of the sector or the length of the arc.

Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o

No. Assuming the measure of the arc is in some units of length along the curve, you have to divide the result by the circumference of the circle. Basically, you need to multiply the area of the whole circle by the fraction of the whole circle that the sector accounts for.

That would certainly do it.

For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.

area of sector = (angle at centre*area of circle)/360

fulse

A sector of a circle is a part of a circle formed by two radii and the arc they intercept; it is a fractional part of a circle. So that the question should be, "find the area A of the sector OAB ...".There are 360⁰ in a circle. So the area of the 75⁰ sector is 75⁰/360⁰, or 5/24, the area of the circle.A = (5/24)(pi )(362) ≈ 848.23 square units.

Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].

If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm

It is found by: (sector area/entire circle area) times 360 in degrees