Question

A drain cover is made from a circular metal plate of radius 14 cm having 21 holes with diameter 0.5 cm. Find the area of the remaining plate​

Answer 1

Answer:

Step-by-step explanation: Area of remaining plate = total area - area of holes

TOTAL AREA = 2πr = 2 *22/7 * 14 = 88 cm²

Diameter of i hole= 0.5 cm. Therefore radius of 1 hole = 0.5/2 (∵d=r/2)

AREA OF 21 DRAINS = 21 * 2πr = 21 * 22/7 *0.5/2 = 16.5 cm²

∴ remaining area = (88 - 16.5) cm² = 71.5 cm²