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Formulas
Definitions
Perimeter
Area
Misc.
100
This is the formula for the Circumference of a circle.
What is C=2(pi)r? or What is C=(pi)d?
100
Define radius. (in a circle ... not in a regular polygon)
What is the distance from the center of a circle to the circle?
100
This is the perimeter of a regular nonagon with a side length of 9 meters and an apothem of 11 meters.
What is 81 meters? Perimeter = side length times # of sides P = 9 x 9 P = 81 meters.
100
This is the area of a circle with a diameter of 6 inches. (Round to 2 decimal places.)
What is 9.42 sq. in? A = (pi) times r squared A = (pi) 3 x 3 (remember, radius is 1/2 the diameter) A = 9.42 sq. in.
100
100 yards = __________ inches. (12 in = 1 ft) (3 ft = 1 yd)
What is 3600 inches? 100 x 36 = 3600 inches.
200
This is the formula for the area of a circle.
What is A=(pi)r(squared)?
200
Define apothem.
What is the perpendicular distance from the center of a regular polygon to any side? or What is the shortest distance from the center of a regular polygon to a side?
200
This is the perimeter of a regular pentagon with an area of 120 sq. cm and an apothem of 6 cm.
What is 40 cm? A = (1/2)(a)(p) 120 = (1/2)(6)(p) 120 = 3(p) divide both sides by 3 p = 40 cm.
200
This is the area of a regular octagon with an apothem of 12 inches and a side length of 1 foot.
What is 4 sq. ft? A = (1/2)(a)(p) A = (1/2)(1)(8) <-- (don't forget ... unit conversion!) A = 4 sq. ft (if in inches, this would be 576 sq. in)
200
Which has the most area: a) A square with an apothem of 5 inches. b) An octagon with an apothem of 5 inches. c) A circle with a radius of 5 inches.
What is (a)? (A square with an apothem of 5 inches)
300
This is the area of any regular polygon
What is A = (1/2)(a)(p)?
300
This is the ratio for pi.
What is the circumference of a circle divided by its diameter?
300
This is the side length of a regular hexagon with an area of 216 sq. miles and an apothem of 8 miles.
What is 9 miles? A = (1/2)(a)(p) 216 = (1/2)(8)(p) 216 = 4p divide both sides by 4 p = 54 miles. There are 6 sides to a hexagon. 54 divided by 6 = 9 miles per side. (Man, that's one BIG hexagon!!!!!)
300
This is the area of a circle with a Circumference of 10 pi inches. Leave your answer in terms of pi.
What is 25 pi sq. in? C = 2(pi)(r) 10pi = 2pi(r) the pi's cancel 10 = 2r Divide both sides by 2 r = 5 in. A = (pi) times r squared. A = pi x 5 x 5 A = 25 pi sq. in.
300
Which has the most area: a) A square with a radius of 5 inches. b) An octagon with a radius of 5 inches. c) A circle with a radius of 5 inches.
What is (c)? (A circle with a radius of 5 inches.)
400
This is the ratio of the circumference of a circle to its area.
What is Area = (1/2) the circumference times the radius?
400
Define composite figure.
What is a shape that can be divided into 2 or more shapes?
400
This is the perimeter of the shape Mr. Levine will now draw on the board.
What is 18.28 inches? (see explanation on board)
400
This is the area of the figure Mr. Levine will draw on the board.
What is 257.08 sq. in? (See board for explanation)
400
Which is a better deal? (a) a circle pizza with a radius of 5 inches for 12 dollars (b) a circle pizza with a radius of 7 inches for 20 dollars (c) a square pizza with a side length of 10 inches for 50 dollars
What is (b)? (a circle pizza with a radius of 7 inches for $20)