Mathematics: What is the area of a sector with a central angle of 2π7 radians and a diameter of 40.6 mm? use 3.14 for π and round your answer to the nearest hundredth.enter your answer as a decimal in the box.

What is the area of a sector with a central angle

Ответ:

devbar3416

10.03.2022

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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Ответ:

AnastaziaOpfer3822

03.01.2021

Mathematics

Step-by-step explanation:

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What is the area of a sector with a central angle of 2π7 radians and a diameter of 40.6 mm? use 3.14 for π and round your answer to the nearest hundredth.enter your answer as a decimal in the box.

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