Question

23. If the area of the circle is 8412 cm2, then find the length of the longest chord of the circle.​

Answer 1

Answer:

the longest chord of the circle is 58 cm

Answer 2

Given :-

• Area of the circle is 8412 cm²

To Find :-

• Length of longest chord of that circle

Solution :-

~Here, we're given the area of the circle which is 8412 cm² . By putting the values in the formula of area of circle we can find the radius . After finding the radius we can find the length of the longest chord of that circle .

As we know that ,

★ Diameter is the longest chord of a circle

★ Diameter = r × 2

★ Area of circle = πr²

Where,

• π is 22/7
• r is radius

_____________

Finding the radius :-

$\sf \dashrightarrow \dfrac{22}{7} \times r^{2} = 8412$

$\sf \dashrightarrow r^{2} = 8412 \times \dfrac{7}{22}$

$\sf \dashrightarrow r^{2} = 2678.9808$

$\sf \dashrightarrow r^{2} = \sqrt{2678.9808}$

$\boxed{\bf{ \bigstar \;\; Radius = 51.74 \; cm}}$

Finding the Diameter ( longest chord ) :-

$\sf \dashrightarrow 2 \times 51.74 \; cm$

$\boxed{\bf{ \bigstar \;\; Diameter = 103.48 \;cm }}$

_____________

Therefore,

• The longest chord ( Diameter ) of that circle measures 103.48 cm ( approx )

_____________