Four pencils are held together with a band
each of the pencils has a diameter 10mm

find the length of the band in this position
give your answer in terms of pi

Are the pencils side by side or are they 2 x 2?

If they are side by side, then the band like a rectangle

but two of the sides are rounded.

In that case, The length is 10x 4 = 40.

The width is a half circle with diameter 10, which has

a circumference (perimeter) of 1/2*PI*10 = 5 * pi.

The total length of the band is 2*40 + 2*5*pi = 80 + 10*pi

Step-by-step explanation:

each side has a different length.  

step-by-step explanation:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: