Question

circular platters fits exactly into a box the base of the box is a square with side lengths 24 cm. a: what is the diameter of the circular platter? b: what is the area of the circular platter?

Answer 1

Answer:

(a)Diameter of the platter = 24 cm

(b)The area of the circular platter is 452 .16 sq.cm

Step-by-step explanation:

The length of the side of square   = 24 cm

Now,as the circular platter FITS EXACTLY in the square box.

⇒ The diameter of the circular platter = Length of the Side of the box

or, the diameter of the platter = 24 cm

(b)   2  x Radius =  Diameter

⇒ Radius =  Diameter / 2 = 24 / 2   = 12 cm

or, radius of the platter = 12 cm

Area of the Circular Platter = $\pi (r)^2$

Using π  = 3.14, we get A = $3.14 \times (12)^ 2 =  452.16$

or A = 452 .16 sq.cm

Hence, the area of the circular platter is 452 .16 sq.cm