Question

A piece of cheese is cut in the shape of the sector of a circle of radius $6$cm. The thickness of the cheese is $7$ cm, then find the curved surface area of the cheese.

• A. $44c{m}^2$
• B. $40c{m}^2$
• C. $42c{m}^2$
• D. $45c{m}^2$

Answer 1

The correct option is A $44c{m}^2$

Length of arc $=\frac{\theta }{360}\times 2\pi r$
Length of arc $=\frac{60}{360}\times 2\times 3.14\times 6=6.28$

$\therefore$ Area of rectangle $=l\times b$

$=7\times 6.28$

$=43.96=44c{m}^2$