A square with sides of length 14 is inscribed in a circle and circumscribed about another circle. What is the area of the larger circle.

Question

jackellyn · Answer

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campbell_st · Answer

the inscribed circle has a radius of 7 

to find the radius of the circumscribed circle you need to use pythagoras's theorem to find the length of the diagonal of the square

this diagonal will also be a diameter for the circumscribed (larger) circle. 

so the steps are

1. find the length of the square diagonal using pythagoras, leave the answer as a 
     radical

2. halve the value to get the radius of the larger circle

3. find the area of the larger circle using the radius you just found

hope it helps

jackellyn · Answer

Thanks, that's pretty much what I did!