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Murrr4er [49]
3 years ago
11

Find the area of a sector with a central angle of 140° and a diameter of 9.6 cm. Round to the nearest tenth.

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0

Answer:

A=28.1\ cm^2

Step-by-step explanation:

The area of a circular sector with a central angle θ and radius r is given by:

\displaystyle A=\frac{1}{2}r^2 \theta

<em>Note</em>: The angle must be in radians.

We need to find both the radius and the angle in radians.

Diameter = 9.6 cm

Radius r=Diameter/2=4.8 cm

Angle in radians= Angle in degrees*π / 180

θ = 140*π / 180 = 2.4435 rad

Now we calculate the area:

\displaystyle A=\frac{1}{2}(4.8)^2 2.4435

\boxed{A=28.1\ cm^2}

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