In the diagram below, the circle has a radius length of r=12r=12 . If the measure of arc AB=68AB=68 °, then what is the area of the unshaded part of the circle O?

When radii OA and OB are placed so that they coincide, a 240 sector of a circle is sealed to form a right circular cone. If the length of the radius of the circle is 6.4 cm, what is the lateral area of the cone that is formed? Use a calculator and round the answer to the nearest tenth of a square inch.

If two ships are 70 nautical miles apart on the ocean, what is the great circle distance between them in radians?

A surveyor sees a circular planetarium through an angle that measures 60. If the surveyor is 45ft from the door, what is the diameter of the planetarium?

For the circle shown below, the length of the radius is 5 in. Find the exact: a Circumference b Area

A company logo on the side of a building shows an isosceles triangle with an inscribed circle. If the sides of triangle measure 10 ft, 13 ft and 13 ft, find the length of the radius of the inscribed circle.

An exit ramp from one freeway to another freeway forms a 900 arc of a circle. The ramp is scheduled for resurfacing. As shown, its inside radius is 370 ft, and its outside radius is 380 ft. What is the area of the ramp to the nearest integer?

An architect is planning to put a circular mosaic in the entry of a new building. The mosaic will be in the shape of a circle with radius of 6 feet. How many square feet of tile will be needed for the mosaic? (Round your answer up to the next whole number.}