ACT Aspire Math: Finding the Area of a Circle Inside a Square

we think you could do it in the next minute

We believe in you Okay actually the question isn't asking

us to make the area of the square match the

area of the circle Instead we just need to find

the area of the circle given the perimeter of the

square Well we can solve this problem by finding the

length of one side of the square which then leads

us to the dye gamut Er of the circle will

a square with side as has perimeter four asked So

you just find asked by dividing the perimeter by four

We'll square here they tell us has a perimeter a

twenty for so it must have a side length of

six Right Twenty four over for well the diagram shows

that the diameter of this circle is equal to the

side of the square because the square and the circle

of the same length across so d their diameter is

six The radius of a circle then is half the

diameter or six over two or three we know that's

a lot of reasoning but we're almost at the part

where we saw the whole thing in an impressive final

display of mathematical know how so I don't give up

yet The area of a circle is pi r squared

right That's the formula Well in this problem are his

three So the area is pi three squared or nine 00:01:32.748 --> [endTime] Hi And that's it It's just be yeah