In the pully system illustrated in the figure above, a belt with negligible thickness is strected tightly around two identical wheels represented by circles A and B. If the radius of each wheel is `(12)/(pi)` inches and the measure of `angleNHJ` is `60^(@)`, what is the length of the belt?

In the given figure. Two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

In the figure above, the segments PA and PB are tangent to circle O at points A and B, respectively, and the measure of angleAPB is 60^(@) . Segment OP is drawn. If OP=(14)/(pi) , what is the length of minor arc AB?

In the figure above, overline(PA) is tangent to circle O at point A, overline(PB) is tangent to circle O at point B. Angle AOB measures 120^(@) and OP=(4)/(pi) . What is the length of minor arc AB?

Two wheels are connected by a belt.The radius of larger wheel is three times that of the smaller one.What is the ratio of the angular velocity of the two wheels i.e. (omega_(b))/(omega_(s)) ?

For Question 19-20 use the figure above A lamp shade with a circular base is an example of a solid shape called a frustrum. In the figure above, the shaded region represents a frustrum of a right cone in which the portion of the original cone that lies 12 inches below its vertex has been cut off by slicing plane (not shown) parallel to the base. Q. If the height and slant height of the frustrum are 8 inches and 10 inches, respectively, what is the number of inches in the radius length, R, of the original cone?

Consider the parallelotrams shown in the figure below representing two-dimensional cells. a. Which of these are primitive and which are multiple unit cells? Are any of these orthogonal? c. What is the relation between the radius of circle and the length of parallelogram for the unit cell shown in the figure below (space filling diagram)? d. How many nearest neighbour circles does a given circle have in the second figure abov? e. What is the radius of the triangular hole shown in the second figure above? f. What is the packing fraction of the unit cell in the second figure above?

Kristine is riding in car 4 of the ferris wheel represented in the diagram above, which is (84)/(pi) meters from car 8. The ferris wheel is rotating in the direction indicated by the arrows. If each of the cars are equally spaced around the circular wheel, what is the best estimate of the number of meters in the distance through which kristine's car will travel to reach the botton of the ferris wheel before her car returns to the same position?

In the figure above, point P is the center of each circle. The circumference of the larger circle exceeds the circumference of the smaller circle by 12pi . What is the width, w, of the region between the two circles?