Question

In the figure above, a square is circumscribed around a circle with a diameter of 20 cm. Points Q, R, S, and T are the midpoints of the square’s sides. What is the total area, in cm², of the shaded regions?

Answer 1

notice that the diameter is 20cm for the circle, and thus is equivalent to the length of a side of the square

so you can pretty much get the Area of the square, and also the Area of the Circle whose radius is 10, Area of a Circle = \(\bf \boldsymbol{\pi r^2}\)

the bottom Shaded section is 1/4 of the Area of the Circle

the top Shaded section is the 1/4 of the Area of the Square, MINUS 1/4 of the Area of the Circle

Answer 2

ok can u simplify that some more. like what do i do to get the answer?

Answer 3

get the Area of both, the square and the circle first

Answer 4

i do that how?

Answer 5

well. first get the Area of the square, notice its dimensions

Answer 6

so i use πr^2?

Answer 7

... what's the width and length of the square?

Answer 8

10?

Answer 9

so i do (3.14)10^2?