Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle?
This task is the mathematical expression of the role of agriculture. The farmer has circular land on which goats are grazed. Because the farmer wants to spend the grass throughout the two days, tie it to a stake on the edge of the circle and a length of rope for the first half of the grass. The second day gives they a whole circle where they can feed off the remaining one-half of the grass.
This task is the mathematical expression of the role of agriculture. The farmer has circular land on which goats are grazed. Because the farmer wants to spend the grass throughout the two days, tie it to a stake on the edge of the circle and a length of rope for the first half of the grass. The second day gives they a whole circle where they can feed off the remaining one-half of the grass.
Correct answer:
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You need to know the following knowledge to solve this word math problem:
- algebra
- equation
- arithmetic
- rounding
- planimetrics
- circle
- area of a shape
- triangle
- The right triangle altitude theorem
- circular sector
- basic functions
- percentages
- goniometry and trigonometry
- sine
Units of physical quantities:
Grade of the word problem:
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