# Rectangle

The rectangle is 21 cm long and 38 cm wide.

Determine the radius of the circle circumscribing rectangle.

Result

r =  22 cm

#### Solution:

$a=21 \ \text{cm} \ \\ b=38 \ \text{cm} \ \\ \ \\ u=\sqrt{ a^2+b^2 }=\sqrt{ 21^2+38^2 } \doteq \sqrt{ 1885 } \ \text{cm} \doteq 43.4166 \ \text{cm} \ \\ \ \\ D=u=43.4166 \doteq \sqrt{ 1885 } \ \text{cm} \doteq 43.4166 \ \text{cm} \ \\ \ \\ r=D/2=43.4166/2 \doteq 21.7083 \doteq 22 \ \text{cm}$

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 1 comment:
Pancake
Thanks, this really helped. Ima go eat my French toast now

Tips to related online calculators
Do you want to convert length units?
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed to rectangle.
2. Dig water well
Mr. Zeman digging a well. Its diameter is 120 cm, and plans to 3.5 meters deep. How long (at least) must be a ladder, after which Mr. Zeman would have eventually come out?
3. Circumscription
Calculate radius of the Circumscribed circle in the rectangle with sides 20 and 19. It can be rectangle inscribed by circle?
4. Again saw
From the trunk of the tree we have to a sculpture beam with rectangular cross-section with dimensions 146 mm and 128 mm. What is the trunk smallest diameter?
5. Diagonal - simple
Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm.
6. Median
In the right triangle are sides a=41 dm b=42 dm. Calculate the length of the medians tc to the hypotenuse.
7. Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long.
The double ladder has 3 meters long shoulders. What is the height of the upper of the ladder reach if the lower ends are 1.8 meters apart?
The double ladder shoulders should be 3 meters long. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart?
The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach?
11. Ethernet cable
Charles and George are passionate gamers and live in houses that are exactly opposite each other across the street, so they can see each other through the windows. They decided that their computers will connect the telephone cable in order to play games t