Question

12. If the area of the circle is 84171 cm2, then find the length of the longest chord of the circles.​

Answer 1

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.

Answer 2

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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