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 graze goats. Because the farmer wants to spend the grass throughout the two days, tie it to a stake on the edge of the circle and 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 graze goats. Because the farmer wants to spend the grass throughout the two days, tie it to a stake on the edge of the circle and 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:
Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.
Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.
You need to know the following knowledge to solve this word math problem:
- algebra
- equation
- planimetrics
- circle
- area of a shape
- The right triangle altitude theorem
- circular sector
- goniometry and trigonometry
- sine
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- The angles 5
The angles of a triangle are in arithmetic progression (AP). The greatest angle is twice the least. Find all the angles. - Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB. - Regular polygons
The number of sides of two regular polygons differ by 1. The sum of the interior angles of the polygons is in the ratio of 3:2. Calculate the number of sides of each polygon. - Isosceles 83157
Using the cosine theorem, prove that in an isosceles triangle ABC with base AB, c=2a cos α.
- Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC. - EE school boarding
Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C. - X-triangle
Find the length of the x segment in the given triangle drawings. - Mast angles and height
Calculate the height of the mast, whose foot can be seen at a depth angle of 11° and the top at a height angle of 28°. The mast is observed from a position 10 m above the level of the base of the mast. - Using 4
Using the law of cosines, find the measurement of leg b if the givens are B=20°, a=10, and c=15.
- Three angles
The three angles of a triangle are (3x-2)°, (4x+5)°, and (2x-3)°, then find the angles. - Know one angle
In a right-angled triangle, the measure of an angle is 40°. Find the measure of other angles of the triangle in degrees. - A lighthouse
A lighthouse overlooks a bay, and it is 77 meters high. From the top, the lighthouse keeper can see a yacht southward at an angle of depression of 32 degrees and another boat eastward at an angle of 25 degrees. What is the distance between the boats? - The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area. - One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area.
- A random
A random sample of 225 nails in a manufacturing company is gathered. The engineer specified that the specified length of a nail must be 8 cm having a standard deviation of 0.04 cm. It shows from the sample that the average length of the nails is 8.055 cm. - Three 235
Three houses form a triangular shape. House A is 50 feet from house C and house B is 60 feet from house C. The measure is angle ABC is 80 degrees. Draw a picture and find the distance between A and B. - A boy 5
A boy starts at A and walks 3km east to B. He then walks 4km north to C. Find the bearing of C from A.