![]() The number π has application in calculating statistical distributions like the normal distribution (gaussian distribution), which are used throughout the sciences. The invention of the wheel was one of the transforming events in early human history, as it dramatically reduced the energy expended in moving stuff around and made travelling easier. cylinders, tubes, gears, and others are used by engineers in clocks, bikes, cars, trains, ships, planes, and even rockets. ![]() Plug the sector’s area and central angle into the formula. ![]() The formula is, where equals the area of the sector, equals the central angle of the sector in degrees, and equals the radius of the circle. The famous Ferris-wheel attraction is a circle, as are the wheels on your car or bike. Set up the formula for the area of a sector. Circles are used when planning athletic tracks, recreational areas, buildings, and roundabouts, so knowing their area is important in construction, landscaping, etc. Practical applicationĬircle geometry has a wide array of practical uses. Apply the second equation to get π x (12 / 2) 2 = 3.14159 x 36 = 113.1 cm 2 (square centimeters). ![]() Task 2: Find the area of a circle given its diameter is 12 cm. For example, if the radius is 5 inches, then using the first area formula calculate π x 5 2 = 3.14159 x 25 = 78.54 sq in. Given a radius and an angle, the area of a sector can be calculated by multiplying the area of the entire circle by a ratio of the known angle to 360 or 2 radians, as shown in the following equation: area. Task 1: Given the radius of a circle, find its area. A sector of a circle is essentially a proportion of the circle that is enclosed by two radii and an arc. ![]()
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