Shape

Plane shape has a maximum area 677 mm². Calculate its perimeter if perimeter is the smallest possible.

Correct answer:

o =  92.2 mm

Step-by-step explanation:

$$\begin{gathered} S=677{\text{mm}}^2 \\ S=\pi \cdot r^2 \\ r=\sqrt{S\mathrm{/}\pi }=\sqrt{677\mathrm{/}3.1416}\doteq 14.6798\text{ mm } \\ o=2\pi \cdot r=2\cdot 3.1416\cdot 14.6798=92.2\text{ mm} \end{gathered}$$

Try another example

Related math problems and questions:

• Radius
  Find the radius of the circle with area S = 200 cm².
• Circle and rectangle
  A rectangle with sides of 11.7 cm and 175 mm is described by circle. What is its length? Calculate the content area of the circle described by this circle.
• Square s3
  Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.
• The schoolyard
  The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m² and has a square shape again. How many meters was each side of the yard enlarged?
• Perimeter to area
  Calculate the area of a circle with a perimeter of 15 meters.
• Quarter of a circle
  Calculate the circumference of a quarter circle if its content is S = 314 cm².
• Circle - simple
  The circumference of a circle is 198 mm. How long in mm is its diameter?
• Circle
  How big is an area of a circle if its circumference is 51.2 cm?
• The coil
  How many ropes (the diameter 8 mm) fit on the coil (threads are wrapped close together) The coil has dimension: the inner diameter 400mm, the outside diameter 800mm and the length of the coil is 470mm
• Perimeter of the circle
  Calculate the perimeter of the circle in dm, whose radius equals the side of the square containing 0.49 dm²?
• Four circles
  1) Calculate the circle radius if its area is 400 cm square 2) Calculate the radius of the circle whose circumference is 400 cm. 3) Calculate circle circumference if its area is 400 cm square 4) Calculate the circle's area if perimeter 400 cm.
• ISO triangle
  Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has perimeter 377 mm.
• Square diagonal
  Calculate the length of the square diagonal if the perimeter is 172 cm.
• Area to perimeter
  Calculate circle circumference if its area is 254.34cm²
• Bike wheel
  The bike wheel has a radius of 30cm. How many times does it turn if we go on a 471m bike?
• The ABCD
  The ABCD trapezoid has a base length of a = 120mm, c = 86mm and an area of S = 2575 mm². Calculate the height of the trapezoid.
• Area of a circle
  The circumference of the circle is 150.72 centimeters. Calculate the area of the circle.