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alexgriva [62]
3 years ago
10

What is the area of a sector with a central angle of 2π7 radians and a diameter of 40.6 mm?

Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0

Answer:

184.85 square mm

Step-by-step explanation:

The area of a sector of a circle is \frac{1}{2} r^{2} \theta, where r is the radius and \theta is the angle in radians subtended by the arc at the centre of the circle.

Since, diameter = 40.6 mm

So, radius(r)=20.3 mm and  \theta=\frac{2 \pi}{7} radians

So, area of sector= \frac{1}{2} r^{2} \theta

=\frac{1}{2} (20.3)^2 (\frac{2 \times 3.14}{7})

=184.85 square mm

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