11. One side of a square is 16 feet long. How long is its apothem?
12. One side of a regular hexagon is 6 inches long. How long is its apothem?
15. Two regular pentagons have radii of 5 cm and 7 cm. What is the ratio of their areas?
16. Two regular octagons have areas of 36 and 49. What is the ratio of their apothems?
17. Two regular octagons have areas of 36 and 49. What is the ratio of their perimeters?
20. Two similar polygons have perimeters of 10 miles and 20 miles, and the area of the larger is 300 mi2. Find the area of the smaller.
24. The length of one side of a regular triangle is 30. What is the length of a radius of the triangle?
25. The radius of a regular hexagon is 6 centimeters. What is the length of the apothem?
28.Two similar polygons have apothems of 15 units and 18 units. What is the ratio of their areas?
2006-10-04 05:51:02 · 3 answers · asked by qtgyjda89 2 in Science & Mathematics ➔ Mathematics
11, 12, 24, 25. The apothem of a regular polygon with n sides has length r=(t/2)cot(pi/n), where t is the side length.
15. 25:49, and 28. 25:36. A=1/2*P*r, where P is the perimeter and r is the length of the apothem, and P=2nr*tan(pi/n), so it increases linearly with r, therefore A increases quadratically with r. In fact, we have A=nr^2*tan(pi/n).
16. 6:7, based on reasoning in 15 in reverse
17. 6:7
20. A=(P/2)^2 cot(pi/n)/n, so if A=300 when P=20, then A=75 when P=10
2006-10-04 06:19:40 · answer #1 · answered by James L 5 · 0⤊ 0⤋
2. C=2*pi*r, so the ratio is an same as that of their radii, a million:3. 3. a million/4 of how around the circle, so (pi/2)*24=12pi. 4. The arc has an attitude of one hundred twenty ranges, so it really is (2*pi/3)*8=16*pi/3 6. D=30, A=225*pi 7. D=14, A=40 9*pi thirteen. r^2=9/25, so r=3/5, so C=2*pi*3/5=6*pi/5 16. A=pi*r^2=pi*(2.5)^2=6.25*pi 20. portion of the circle is 400*pi^2, portion of the realm is a million/10 of that, so the degree degree is a million/10 of 360=36 ranges 21. portion of circle=225*pi^2. to get aspect s of sq., use shown reality that portion of sq. is s^2, so s=sqrt(225*pi)^2=15*pi=40 seven ft
2016-11-26 02:30:16 · answer #2 · answered by Anonymous · 0⤊ 0⤋
they are all easy to answer but i dont think any body has the time to answer all of them. maybe you had to send them seperately, so people would take the time to answer them.
2006-10-04 06:13:36 · answer #3 · answered by alwayss_ready 3 · 0⤊ 0⤋