Radius

Q.

Length of tape required to cover the edges of a semicircular disc of radius $10cm$ is

1. $62.8cm$

2. $51.4cm$

3. $31.4cm$

4. $15.7cm$

Q.

The length and breadth of a rectangular courtyard is 75 m and 32 m. Find, the cost of leveling it at the rate of $3 per m${}^2$. Also, find the distance covered by a boy to take 4 rounds of the courtyard.

1. $7000, 876 m

2. $6000, 856 m

3. $7200, 856 m

4. $7100, 856 m

Q. $9$ balls of diameter $2$ cm each are packed tightly in a box as shown. The height of the box is :

1. $2\sqrt{3}+3$
2. $2\sqrt{3}+2$
3. $2+\sqrt{3}$
4. $4$

Q. In $\Delta ABC,AB=BC=6cm$. A circle is drawn with the center at $B$ and a radius of $2$ centimeters. What is the scale factor of the triangle formed by the point $B$ and the points where the circle intersects $\Delta ABC$?

1. $\frac{1}{3}$
2. $\frac{1}{2}$
3. $\frac{2}{3}$
4. $1$