Find the area of the sector of a circle of radius 4 feet and central angle u if the arc length subtended by θ is 5 feet

The central angle corresponding to a circular brake shoe measures 60. To two decimal places how long is the curved surface of the brake shoe if the length of the radius is 7 in.

Suppose the angle formed by the line y = 3x and the positive x-axis is 6. Find the tangent of (Figure 1). Figure 1

For the two circles in figures a, b, and c, find the total number of common tangents internal and external.

Determine the arc dimension x in inches to 3 decimal places.

Determine the area of a sector with a radius of 1058 in. and a central angle of 50. Round your answer to 2 decimal places.

Sketch two circles that have: a No common tangents b Exactly two common tangents c Exactly three common tangents d Exactly three common tangents e Exactly four common tangents

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?

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.

The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent to the larger circle and to two sides of the square, as shown. Find the length of the radius of the smaller circle.