Question

find the base area ofvthe cone made of sector whose radius is21cm and length of arc 44cm​

Answer 1

The base area of the cone made of the sector is 154 cm².

Step-by-step explanation:

The radius of the sector = 21 cm

The length of the arc = 44 cm

Since it is given that the sector is made into a cone, so we can conclude that

The radius of the sector will become the slant height of the cone = 21 cm

and

The arc length of the sector will become the circumference of the base of the cone = 44 cm  

Let the radius of the base of the cone be denoted as "r" cm.

Now,

The circumference of the base cone = 2πr

⇒ 44 = 2πr

⇒ 44 = 2 ×  $\frac{22}{7}$ × r

⇒ r = 7 cm

Thus,

The area of the base of the cone is given by,

= πr²

=  $\frac{22}{7}$ × 7²

= 22 × 7

= 154 cm²

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