Rectangle

The rectangle is 21 cm long and 38 cm wide.

Determine the radius of the circle circumscribing rectangle.

Correct answer:

r =  22 cm

Step-by-step explanation:

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

Try another example

Showing 1 comment:

Pancake

Thanks, this really helped. Ima go eat my French toast now

3 years ago  Like

Related math problems and questions:

• Rectangle
  The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed to the rectangle.
• Rhombus and inscribed circle
  It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals.
• Diagonals
  A diagonal of a rhombus is 20 cm long. If it's one side is 26 cm, find the length of the other diagonal.
• Circumscribed circle to square
  Find the length of a circle circumscribing a square of side 10 cm. Compare it to the perimeter of this square.
• IS trapezoid
  Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
• Rectangle and circle
  The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many cm is circle long.
• Quarter circle
  What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
• Diagonal - simple
  Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm.
• Rectangle SS
  Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
• Diagonal
  Calculate the diagonal length of the rectangle ABCD with sides a = 8 cm, b = 7 cm.
• Movement
  From the crossing of two perpendicular roads started two cyclists (each at the different road). One runs at average speed 28 km/h, the second at average speed 24 km/h. Determine the distance between them after 45 minutes cycling.
• Surface area of the top
  A cylinder is three times as high as it is wide. The length of the cylinder’s diagonal is 20 cm. Find the surface area of the top of the cylinder.
• Circumscribing
  Determine the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm.
• Two diagonals
  The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal?
• Square 2
  Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate area of the square ABCD.
• Chord
  In a circle with radius r=60 cm is chord 4× longer than its distance from the center. What is the length of the chord?
• Chord AB
  What is the chord AB's length if its distance from the center S of the circle k(S, 92 cm) is 10 cm?