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Broad Topics >

Measuring and calculating with units > Area - circles, sectors and segments

##### Age 11 to 14 Challenge Level:

Can you maximise the area available to a grazing goat?

##### Age 11 to 14 Challenge Level:

Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

##### Age 11 to 14 Challenge Level:

Which is a better fit, a square peg in a round hole or a round peg
in a square hole?

##### Age 11 to 14 Challenge Level:

Bluey-green, white and transparent squares with a few odd bits of
shapes around the perimeter. But, how many squares are there of
each type in the complete circle? Study the picture and make. . . .

##### Age 11 to 14 Challenge Level:

What fractions of the largest circle are the two shaded regions?

##### Age 11 to 14 Challenge Level:

A floor is covered by a tessellation of equilateral triangles, each having three equal arcs inside it. What proportion of the area of the tessellation is shaded?

##### Age 7 to 11 Challenge Level:

How could you find out the area of a circle? Take a look at these ways.