Question

A motion sensor has a range of 65 meters as shown. The ultrasonic waves sweeping out from the sensor span an angle of 135°.

Answer 1

The approximate area that is within range of the motion sensor is 4975 square meters

How to determine the area of the range?

The figure is not given, however the area of the range can be calculated without the figure.

The given parameters are:

Angle, ⊕ = 135°

Radius, r = 65 meters

The area of the range is calculated using the following sector area

$A = \frac{\theta}{360} * \pi r^2$

This gives

$A = \frac{135}{360} * 3.14 * 65^2$

Evaluate

A = 4974.9375

Approximate

A = 4975

Hence, the approximate area that is within range of the motion sensor is 4975 square meters

Read more about sector areas at:

brainly.com/question/16736105

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