This circle has a radius of 3 centimeters and a central angle with a measure of 60 degrees.What is the area of the shaded sector?
![This circle has a radius of 3 centimeters and a central angle with a measure of 60 degreesWhat is the area of the shaded sector class=](https://us-static.z-dn.net/files/dc8/190c618f9974e8450ca7278de9848c33.jpg)
Answer:
Area of the shaded sector
=
42.41
Step-by-step explanation:
there u go hope it helps uhh
In the given diagram, the area of the shaded sector is 1.5π cm² OR 4.71 cm²
From the question, we are to calculate the area of the shaded sector
The area of a sector can be calculated by using the formula,
[tex]A = \frac{\theta}{360 ^\circ} \times \pi r^{2}[/tex]
Where θ is the central angle
and r is the radius of the circle
From the give information,
θ = 60°
r = 3 cm
∴ [tex]A = \frac{60 ^\circ}{360 ^\circ} \times \pi \times 3^{2}[/tex]
[tex]A = \frac{1}{6} \times 9 \pi[/tex]
A = 1.5π cm² OR 4.71 cm²
Hence, the area of the shaded sector is 1.5π cm² OR 4.71 cm²
Learn more on Calculating area of a sector here: https://brainly.com/question/23901294
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