Which has a greater area, four circles, each with
radius 1 m, or one circle with radius 4 m? Explain , Already know the answer the greater one is the one circle but i need help with this question, dont have a compass :(

To check your answer, use a compass to draw the large
and small circles. Draw a circle with radius 4 cm to represent
the large circle. Can you draw the four smaller circles so
that they fit inside the large circle, without overlapping?

Question

Which has a greater area, four circles, each with
radius 1 m, or one circle with radius 4 m? Explain , Already know the answer the greater one is the one circle but i need help with this question, dont have a compass :(

To check your answer, use a compass to draw the large
and small circles. Draw a circle with radius 4 cm to represent
the large circle. Can you draw the four smaller circles so
that they fit inside the large circle, without overlapping?

johnweldon1993 · Answer

Well you DO have the correct answer...just dont do the drawing portion...prove it with the formula for area of a circle

johnweldon1993 · Answer

Area = pi * r^2

so
4 smaller ones = 4( pi * 1^2) = 4pi
1 bigger one = pi * 4^2 = 16pi

so clearly you have the correct answer