2d shape

Calculate the content of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of the segment AB is 5 cm.

Result

S =  58.274 cm2

Solution:

$a=5 \ \\ r=3 \ \\ S_{1}=a \cdot \ 2 \cdot \ r=5 \cdot \ 2 \cdot \ 3=30 \ \\ S_{2}=\pi \cdot \ r^2=3.1416 \cdot \ 3^2 \doteq 28.2743 \ \\ S=S_{1}+S_{2}=30+28.2743 \doteq 58.2743 \doteq 58.274 \ \text{cm}^2$

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...):

Be the first to comment!

Tips to related online calculators
Do you want to convert length units?

Next similar math problems:

1. 22/7 circle
Calculate approximately area of a circle with radius 20 cm. When calculating π use 22/7.
2. Circle area
Calculate the circle area with a radius of 1.2 m.
3. Cable
Cable consists of 8 strands, each strand consists of 12 wires with diameter d = 0.5 mm. Calculate the cross-section of the cable.
4. Circle - easy 2
The circle has a radius 6 cm. Calculate:
5. Pipe cross section
The pipe has an outside diameter 1100 mm and the pipe wall is 100 mm thick. Calculate the cross section of this pipe.
6. Lawns
Before a sports hall are two equally large rectangular lawns, each measuring 40 m and 12 m. Maintenance of 10m² lawn cost 45 CZK yearly. On each lawn is circular flowerbed with a diameter 8 meters. How much money is needed each year to take on lawn care?
7. Sidewalk
The city park is a circular bed of flowers with a diameter of 8 meters, around it the whole length is 1 meter wide sidewalk . What is the sidewalk area?
8. Tiles path
A rectangular park measures 24mX18m. A path 2.4m wide is constructed all around it. Find the cost of paving the path with cement tiles of size 60cm X 40cm at the rate of \$5.60 per tile ?
9. Hřiště
Map scale is 1: 5000. The playground is rectangular and on the map has dimensions 10 cm and 5 cm What is area of playground in square meters in reality?
10. Crocuses
The garden grow daffodils, crocuses and roses. 1400 daffodils, crocuses is 462 more and roses is 156 more than crocuses. How many are all the flowers in the garden?
11. Two circles
Two circles with a radius 4 cm and 3 cm have a center distance 0.5cm. How many common points have these circles?
12. Center traverse
It is true that the middle traverse bisects the triangle?
13. Line
Can we construct a line segment, if we know: center