Rectangle - desc circle

Length of the sides of the rectangle are at a ratio 1: 3 . Radius of the circle circumscribed to rectangle is 10 cm. Calculate the rectangle's perimeter.

Result

p =  50.6 cm

Solution:

r=10 cm a:b=1:3 3a=b  (2r)2=a2+b2 (2r)2=a2+(3a)2 4r2=10a2 a=4/10r=6.32455532034 cm b=3a=18.973665961 cm p=2(a+b)=50.6 cm r = 10\ cm \ \\ a:b = 1:3 \ \\ 3a = b \ \\ \ \\ (2r)^2 = a^2 +b^2 \ \\ (2r)^2 = a^2 +(3a)^2 \ \\ 4r^2 = 10 a^2 \ \\ a = 4/10 r = 6.32455532034 \ cm \ \\ b = 3a = 18.973665961 \ cm \ \\ p = 2(a+b) = 50.6 \ \text{cm} \ \\



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Check out our ratio calculator.
Pythagorean theorem is the base for the right triangle calculator.

 

 

 

Next similar math problems:

  1. Circumscription
    circles43 Calculate radius of the Circumscribed circle in the rectangle with sides 20 and 19. It can be rectangle inscribed by circle?
  2. Tv screen
    tv2 The size of a tv screen is given by the length of its diagonal. If the dimension of a tv screen is 16 inches by 14 inches, what is the size of the tv screen?
  3. Enlarged rectangle
    rectangle_10 The rectangle with dimensions of 8 cm and 12 cm is enlarged in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle?
  4. Umbrella
    dazdnik Can umbrella 75 cm long fit into a box of fruit? The box has dimensions of 390 mm and 510 mm.
  5. Circle r,D
    bavlnka Calculate the diameter and radius of the circle if it has length 52.45 cm.
  6. Round table
    obrus-kruhovy Round table with diameter d = 105 cm is coated by square tablecloth with a side length 121 cm. About how many cm is higher center of tablecloth than its cornes?
  7. Wheels
    tractor Small tractor wheel with a diameter of 60 cm must be rotated 8 times to overcome some pathway. How many times must turn the big tractor wheel with a radius 60 cm to overcome the same distance?
  8. Circumference - a simple
    circle_radius What is the ratio of the circumference of any circle and its diameter? Write the result as a real number rounded to 2 decimal places.
  9. Circle
    circle_1 What is the radius of the circle whose perimeter is 6 cm?
  10. Equator
    around_globe Suppose that tourist went on foot over the Globe equator. How many meters more track made ​​his hat on his head as the shoes on your feet? The radius of the earth is 6378 km and height of the tourist is 1.7 m.
  11. Radius
    green_circle Determine the radius of the circle, if its perimeter and area is the same number.
  12. Bridge
    bridge_circle The bridge arc has a span 34 m and height 3 m. Calculate the radius of the circle arc of this bridge.
  13. Flowerbed
    garden_16 In the park there is a large circular flowerbed with a diameter of 12 m. Jakub circulated him ten times and the smaller Vojtoseven times. How many meters each went by and how many meters did Jakub run more than Vojta?
  14. Mine
    minetower Wheel in traction tower has a diameter 4 m. How many meters will perform an elevator cabin if wheel rotates in the same direction 89 times?
  15. Wheel
    bicycle_1 Diameter of motocycle wheel is 52 cm. How many times rotates wheel on roand long 2 km?
  16. Donuts
    donut Find how many donuts each student will receive if you share 126 donuts in a ratio of 1:5:8
  17. Line segment
    lines_7 The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment?