QQuestionMathematics
QuestionMathematics
"Find the area of the shaded sector of circle O.
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Captionless Image
5π
20π
25π
50π"
6 months agoReport content
Answer
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Step 1: Identify the information given in the problem.
We are given a circle with radius r = 5 units (since the diameter is 10 units). The sector is shaded with a central angle of θ = π/ 6 radians. We need to find the area of this shaded sector.
Step 2: Recall the formula for the area of a sector.
A = rac{1}{2} r^{2} \theta
The area of a sector with radius r and central angle θ is given by the formula: where A is the area of the sector, r is the radius of the circle, and θ is the central angle in radians.
Final Answer
The area of the shaded sector is approximately 6.5 square units.
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