12. If the area of the circle is 84171 cm2, then find the length of the longest chord of the circles.
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Answered by
0
Answer:
Longest chord of the circle is of 58 cm.
Step-by-step 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.
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.
Answered by
1
Answer:
Given,
the area of the circle = 841 π cm²
to find,
the longest chord of circle = ?
let , r be the area of the circle.
we know that,
the area of the circle = π r²
π r² = 841 r
r² = 841
r² = 29²
r = 29 cm.
the longest chord of the circle = the diameter of the circle = 2 r.
= 2 × 29 cm.
= 58 cm.
Thus, the longest chord of the circle is 58 CM.
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