If the area of the circle is 1296π cm²
then find the length of the longest chord of
the circle
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Answer:
The longest chord of the circle is 58 cm.
Step-by-step explanation:
Given,
The area of the circle = 841πr²
To find, the longest chord of the circle = ?
Let r be the area of the circle.
We know that,
The area of the circle = πr²
∴ πr² = 841π
⇒ r² = 841
⇒ r = 29 cm
∴ The longest chord of the circle = The diameter of the circle = 2r
= 2 × 29 cm
= 58 cm
Thus, the longest chord of the circle is 58 cm.
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