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malfutka [58]
3 years ago
7

A piece of rope that is 26feet long is cut into two pieces. One piece is used to form a circle and the other used to form a squa

re. Write a function g representing the area of the square as a function of the radius of the circle r.
Mathematics
1 answer:
torisob [31]3 years ago
3 0

9514 1404 393

Answer:

  g(r) = (13 -πr)²/4

Step-by-step explanation:

The circumference of the circle is given by ...

  C = 2πr

The amount of rope remaining after the circle is formed will be ...

  26 -2πr

When this is used to form a square, each side of the square will be 1/4 of this length, so is ...

  s = (26 -2πr)/4 = (13 -πr)/2

The area of the square is the square of the side lengths, so is ...

  g(r) = ((13 -πr)/2)²

  g(r) = (13 -πr)²/4 . . . . area of the square as a function of circle radius

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Can u plz solve it asap with explanation. Thank you. ​
Shtirlitz [24]

okay so you should know that the formula for a triangle is:

A=1/2×b×h

where b is breadth and h is height

A is area

so they already gave the area which is 16.2 and they already gave a side ( doesn't matter if it's b or h in this question)

so we put these into the equation of the area of a triangle

A=1/2×b×h

16.2=1/2 × 6 × h

then you will solve algebraically to get 5.4cm which is you answer

to check if correct you can always put in all numbers in equation and you should get 16.2cm

In this case it's correct ✌

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3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

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Substitute the values:

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Step-by-step explanation:

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