Four pencils are held together with a band.the figure on the right shows the bottom end of the pencils and the band.each of the pencils has a diameter of 10mmfind the length of the band in this position.give your answer in terms of pi.

Answer: (40+10π) mm.
Step-by-step explanation: Given diameter of the circle = 10mm.Radius of the circle = 10/2 = 5 mm.From the figure, we can see that each or the four corners makes a quarter of the circle.And four corners would make the complete circle with radius 5mm.Therefore, circumference of the four quarters of a circle = 2 π r= 2 π  (5) = 10 π.Now, we can see that each side 10 mm of band also there.So, the length of straight band on all four sides = 4 × 10 = 40 mm.Total length of the band = (40+10π) mm