...6.875 ; find the length of the arc. PROBLEM 9. To fond the area of a sector or a segment of a circle. 1 Find the area of a sector of a circle whose radius is 17, and the chord of the whole arc 24|. 2 Find the area of the sector of a circle whose radius is 14i,...

...30, 40, 50; find the area of a circle which has the same perimeter. 12. The radius of a circle is 10 feet; find the radius of a circle which is ten times...of the arc, so that the area of the sector will be 100 square feet ? 16. Find the area of the portion between the two concentric circles whose radii are...

...area of a sector. RULE. Multiply the radius by half, the length of the arc; or A — % 1 r. EXAMPLE. Find the are"a of a sector of a circle whose radius is 90 feet, the arc of the sector being 80 feet in length ? SOLUTION. A = £lr = £x80x 90 feet = 40 X...

...17. In a circle whose diameter is 72 inches, find the length of the arc whose height is 8 inches. 18. Find the area of a sector of a circle whose radius is 21 inches and the angle between the radii 40°. 19. Find the area of the sector of a circle having given...

...the base is 3| ft. and altitude 8 ft. 8. A 40-A. field is 160 rd. long. How many rods wide is it ? 9. Find the area of a sector of a circle whose radius is 8 ft. and arc 20 ft, 10. Find the convex surface of a triangular prism whose bases are equilateral...

...in., a hexagon is inscribed. Find the area of one of the segments cut off by a side of the hexagon. 7. Find the area of a sector of a circle whose radius is 5 inches and whose arc is equal to the circumference of a second circle whose radius is 1.75 in. 16....

...are removed. (6) (1) If the diameter of a circle is 48 inches, find the length of an arc of 85°. (2) Find the area of a sector of a circle whose radius is 15 inches and whose angle is 32°. (3) Prove that the sum of two opposite sides of a circumscribed...