HW #14--Chapter 10 Study GuideName: Per.
Please show all of your work! NO WORK = NO CREDIT! You may ONLY use a calculator on the problems where you see “CALCULATOR OK” next to them!!
For #1-16, find the area of each figure. Do not round your answers. If needed, leave in your answer. Don’t forget about your units!!1.)
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5.) A rectangle has a diagonal of 13 in. and one side of 5 in. Find the area of the rectangle. / 6.) The perimeter of a rhombus is 20 cm and one diagonal is 8 cm. Find the area of the rhombus.
7.) A circle has a circumference of yd. Find the area of the circle. / 8.) A trapezoid has a median of 16 m and a height of 4 m. Find the area of the trapezoid.
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/ 10.) A regular hexagon with perimeter 60 in.
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15.) An equilateral triangle with apothem 10 yd. / 16.) A regular dodecagon with a side of length 6 in and an apothem of 5 in.
For #17-22, use the circle at the right. In are diameters. Identify the following.
17.) two minor arcs
18.) two major arcs /
19.) two semicircles / 20.) a pair of adjacent arcs
21.) an acute central angle / 22.) an obtuse central angle
For #23-25, find the measure of each arc in .
23.) 24.)
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For #26-27, find the length of each arc.
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For #28-29, find the area of each shaded sector of a circle. Leave your answers in terms of .
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For #30-31, find the area of the shaded region. Round your answers to the nearest tenth or with reduced radicals.
30.) CALCULATOR OK.
/ 31.) CALCULATOR OK.
For #32-35, simplify each expression as much as possible using your exponent rules. Do not leave any negative exponents in your answers!
32.) / 33.)
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36.) The scale factor of two similar polygons is 2:7. What is the ratio of:
a) their corresponding sides?
b) their perimeters?
c) their areas? / 37.) The scale factor of two similar polygons is 3:5. The area of the larger polygon is 75m2. Find the area of the smaller polygon.
38.) The areas of two regular hexagons are 9cm2
and 25cm2. What is the:
a) ratio of their sides?
b) ratio of their perimeters? / 39.) The perimeters of two similar parallelograms are 4m and 8m. What is the:
a) scale factor?
b) ratio of their areas?