Question

what is the maximum number of circular plates of 2 cm diameter that can be cut out from a rectangular plate of size 36 cm x 28​

Answer 1

Answer:

18 x 14 =  252 circular plates

Step-by-step explanation:

Answer 2

Given,

Diameter of the circular plates is 2 cm.

Dimensions of the rectangular plate = 36cm × 28cm

To find,

The number of maximum circular plates that can be obtained from th rectangular plate.

Solution,

First of all, we need to calculate the radius of a circular plate.

Radius = Diameter/2 = 2/2 = 1 cm

Area of a circular plate = 22/7 × (1)² = 22/7 cm²

Area of the rectangular plate = (36×28) = 1008 cm²

Now, the number of maximum circular plates can be calculated by the following mathematical formula.

Number of maximum circular plates that can be obtained from rectangular plate = Area of rectangular plate/ Area of a circular plate = 1008 ÷ (22/7) = 1008 × 7/22 = 320.72 = 320 (rounded off)

Hence, maximum 320 circular plates can be obtained.