Plane and solid geometry . 274 PLAXE GEOMETRY Ex. 1022. The figure represents a belt from drive wheel 0 to wheelQ. The diameter of wheel O is2 feet and of wheel Q 16 the drive wheel makes 75 revo-lutions per minute, how many rev-olutions per minute will the smallerwheel make ? Ex. 1023. The radius of a circle is 6 inches. What is the area of asegment whose arc is 60 ? Ex. 1024. The radius of a circle is 8 inches. What is the area ofthe segment subtended by the side of an inscribed equilateral triangle ? Ex. 1025. The diagonals of a rhombus are 16 and 30 ; find the areaof the circle i
Plane and solid geometry . 274 PLAXE GEOMETRY Ex. 1022. The figure represents a belt from drive wheel 0 to wheelQ. The diameter of wheel O is2 feet and of wheel Q 16 the drive wheel makes 75 revo-lutions per minute, how many rev-olutions per minute will the smallerwheel make ? Ex. 1023. The radius of a circle is 6 inches. What is the area of asegment whose arc is 60 ? Ex. 1024. The radius of a circle is 8 inches. What is the area ofthe segment subtended by the side of an inscribed equilateral triangle ? Ex. 1025. The diagonals of a rhombus are 16 and 30 ; find the areaof the circle inscribed in the MISCELLANEOUS EXERCISES Ex. 1026. An equiangular polygon inscribed in a circle is regular ifthe number of sides is odd. Ex. 1027. An equilateral polygon circumscribed about a circle isregular if the number of sides is odd. Ex. 1028. Find the apothem and area in terms of the radius in anequilateral triangle ; in a square ; in a regular hexagon. Ex. 1029. The lines joining the mid-points of the radii of a regu-lar pentagon form a regular pentagon. Find the ratio of its area to thearea of the original pentagon. Ex. 1030. Within a circular grass plot of radius 6 feet, a flower bedin the form of an equilateral triangle is inscribed. How many square feetof turf remain ? Ex. 1031. The area of a regular hexagon inscribed in a circle is 24 is the area of the circle ? Ex. 1032. From a circle of radius 6 is cut a sector whose centralanirle is 105^ Find the area and perimeter of the sector. Ex. 1033. Prove that the following method ofinscribini: a regular pentagon and a regular decagonin
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
