Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A chord of a circle of radius subtends an angle of at the centre. Find the area of the minor segment. Take and . Also write the exact form of the answer.
A minor segment is the sector minus the triangle : . The major segment is the whole circle minus the minor segment.
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 sector. . With this is .
Step 2. The triangle. . With this is .
Step 3. The segment. .
Answer: the exact area is , which is with the given values.
Check. The segment should be smaller than the sector () and larger than zero.
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