MHB Find radius, circumference, area and arc length in circle

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The discussion focuses on calculating various properties of a circle, including radius, circumference, area, and arc length. The user successfully determined the radius as 12 inches, circumference as 75.3982 inches, and area as 452.389 square inches. However, they are struggling with the arc length calculation. A participant suggests using the formula for arc length, which involves taking a fraction of the circumference based on the angle in degrees. The conversation emphasizes the importance of expressing answers in terms of π.
Etrujillo
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So I've been able to solve
A.12 inch
B.24 inch
C.75.3982
D.452.389
Cant solve e. Arc length can anyone please explain the formula. Thank you
 

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Etrujillo said:
So I've been able to solve
A.12 inch
B.24 inch
C.75.3982
D.452.389
Cant solve e. Arc length can anyone please explain the formula. Thank you
So far so good.

You know that the circumference is 75.3982 in, then how much is 105/360 of it?

-Dan
 
Note that the instructions say to express your answers in terms of \(\pi\). :)
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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