Five circles are placed in a rectangle as shown. If the length of the shorter side of the rectangle is 1, find the length of the other side.

Three pipes, each of radius length 4 in., are stacked as shown. What is the exact height of the stack?

If the atomic radius of lead is 0.175 nm, calculate the volume of its unit cell in cubic meters

Two circles, whose radii are 12 inches and 16 inches respectively, intersect. The angle between the tangents at either of the points of intersection is ${\displaystyle {20}^{\circ },{30}^{\prime }}$. Find the distance between the centers of the circle.

Find the value of x. x =

To construct:
The angle equal to the average of measures of ${\displaystyle \mathrm{\angle }A}$ and ${\displaystyle \mathrm{\angle }B}$.

Find FD and solve for x

To find the following from the given sphere
${\displaystyle \star }$ Two lines cantaining point M
${\displaystyle \star }$ A segment containing points S
${\displaystyle \star }$ A triangle in given sphere