Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The arc of a sector is long and the radius is . Find the area of the sector and the angle of the sector. Take .
A sector with angle has area . The minor and the major sector add up to the whole circle. A blade between radii and sweeps .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. , .
Step 1. The area. .
Step 2. The circumference. .
Step 3. The angle. , so .
Answer: the area is and the angle is .
Check. A quarter of the circle: .
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