
Trigonometry Summative Test - Quarter 1
Quiz by Michelle Villanueva
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A circle has a radius of 8 inches. In inches, what is the length of the arc intercepted by a central angle of 2 radians?
Jane wants to plant a border of flowers in the shape of an arc along the edge of a circular pathway. If the circle has a radius of 10 yards, and the angle subtended by the arc measures 3 radians, what is the length, in yards, of the border?
In a circle of radius 7, what is the length of the arc intercepted by a central angle of 2 radians?
In a circle, whose radius is 12, what is the length of the arc intercepted by a central angle of 4 radians?
A dart board has diameter 20 in. and is divided into 20 congruent sectors. What is the area of one sector?
A fan with 38-in. blades rotates at 73 rev per min. What is the angular speed of the fan in rad/s?
What is the angular speed, in radians per minute, associated with given 7.2 revolutions per minute?
A wheel is rotating at 130 revolutions per minute. What is the angular speed in radians per second?
A computerized spin balance machine rotates a 35-inch diameter tire at 580 rev per minute. At what rate should the spin balance machine be set so that the tire is being tested for 45 miles per hour?
A Blu-ray disc is approximately 14 cm. in diameter. The drive motor of a Blu-ray player is able to rotate up to 15,000 revolutions per minute. What is the linear speed (in meters per second) of a point on the outermost track as the disc rotates?
Given that AD=4 and DC=16,
What is the measure of the segment BC?
What is the exact length of the third side given that the length of one of the legs of the right triangle is 15 and the hypotenuse measures 17?
What kind of triangle gives side lengths 77, 36, and 85?
A boy walks due east 200 m and then walks 300 m due north. How far is the boy from the starting point?
