3. What is the radius of the circle whose central angle of 225° subtends an arc of 41 cm?

In order to make a conical duct, a circular sheet of metal is to be cut in the shape of a sector of a circle. If the radius of the sector is 28.5 in. and the arc length of the of the sector is 26.4 in., what are the central angle, , and area of the sector?

A windshield wiper rotates through a 1200 angle as it cleans a windshield. From the point of rotation, the wiper blade begins at a distance of 4 in. and ends at a distance of 18 in. The wiper blade is 14 in. in length. Find the area cleaned by the wiper blade.

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?

Holes are to be drilled in the length of angle iron as shown in Figure 38-1. What is thedistance between two consecutive holes?

The top surface of a picnic table is in the shape of a regular hexagon. What is the measure of the angle formed by two consecutive sides?

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.

Two of the sides of an isosceles triangle have lengths of 10cm and 4cm. Which length must be the length of the base?

The angle of elevation to the top of a flagpole at a distance of 19 feet from its base is 64.6. How tall is the flagpole?