if the area of the circle is 841 π cm² then find the longest chord of circle
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30
Answer:
Longest chord of the circle is of 58 cm.
Explanation
- A chord is a line segment joining any two points on the circumference of a circle.
- The diameter is the longest chord of a circle.
- Diameter is related to radius by the relation d = 2r.
- Area of circle = πr² units.
Calculations
Given,area of circle = 841 π cm²
=> πr² = 841 π cm²
=> r² = 841 cm²
=> r² = ( 29 cm)²
=> r = 29 cm.
Therefore, radius of the circle is 29 cm .
Hence,diameter (d) =2 × r = 2 × 29 = 58 cm .
Therefore,the length of longest chord of the circle is 58 cm.
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