ANGLES Expressions (Page 1 of 2)

One application that involves angle measure is arc length. Let's find the length of the arc intercepted by a central angle of measure π/12 radians in a circle of radius 10 cm. We must evaluate the expression (π/12)(10).

 CLEAR key.

 Left parenthesis key. 2nd Pi key. Divide key. 12 Right parenthesis key. Multiply key. 10 ENTER key.

Calculator screen image.

A second application is sector area. For example, find the area of the sector of a circle of radius 3 feet whose central angle measures 0.8 radians. We must evaluate the expression (1/2)(3^2)(0.8).

 Left parenthesis key. 1 Divide key. 2 Right parenthesis key. 3 x-squared key. Multiply key. 0.8 ENTER key. Calculator screen image.
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