Exercises deal with a regular
b.What is the area of a disc of radius
c.Calculate A from part (a) with
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- In a particular type of regular polygon, the length of the apothem is exactly one-half the length of a side. What type of regular polygon is it?arrow_forwardIn Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. Find the area of a regular pentagon with an apothem of length a = 6.5 in. and each side of length s = 9.4 in.arrow_forwardIn Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. Find the area of a regular octagon with an apothem of length a = 9.8 in. and each side of length s = 8.1 in.arrow_forward
- a Given that the polygon shown has six congruent angles, this polygon is known as an __________ _________ b What is the measure of each of the congruent interior angles?arrow_forwardIn Exercises 17 to 30, use the formula A=12aP to find the area of the regular polygon described. Find the approximate area of a regular pentagon whose apothem measures 6 in. and each of whose sides measures approximately 8.9 in.arrow_forwardConsider the triangular prism shown in Exercise 2. a How many vertices does it have? b How many edges lateral edges plus base edges does it have? c How many faces lateral face plus bases does it have?arrow_forward
- The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of radius length 3 in. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.arrow_forwardIn terms of the apothem a and length of side s of the smaller regular pentagon, find an expression for the shaded area.arrow_forwarda Are any two regular pentagons similar? b Are any two equiangular pentagons similar?arrow_forward
- Use Exercise 33 and the following drawing to complete the proof of this theorem: The length of the median of a trapezoid is one-half the sum of the lengths of the two bases. Given: Trapezoid ABCD with median MN Prove: MN=12(AB+CD) 33. Use Theorem 5.6.1 and the drawing to complete the proof of this theorem: If a line is parallel to one side of a triangle and passes through the midpoint of a second side, then it will pass through the midpoint of the third side. Given: RST with M the midpoint of RS;MNST Prove: N is the midpoint of RTarrow_forwardIf the area of the 1200 sector is 40 cm2 and the area of MON is 16 cm2, what is the area of the segment bounded by MN- and MN?arrow_forwardIf AC is a diameter of O, find the area of the shaded triangle. Exercise 17arrow_forward
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