1) Find the area of a circle given:
a) radius = \(5\) cm
b) radius = \(\Large\frac{8}{\pi}\) in.
c) radius = \(3.2\) ft.
d) diameter = \(14\) m
2) a) If the area of a circle is \(16\pi\) in\(^{2}\), what is the length of the radius?
b) If the area of a circle is \(5\pi\) mm\(^{2}\), what is the length of the diameter?
a) radius = \(5\) cm
b) radius = \(\Large\frac{8}{\pi}\) in.
c) radius = \(3.2\) ft.
d) diameter = \(14\) m
2) a) If the area of a circle is \(16\pi\) in\(^{2}\), what is the length of the radius?
b) If the area of a circle is \(5\pi\) mm\(^{2}\), what is the length of the diameter?
3) a) The area of the circle is \(24\) in\(^{2}\). What is the area of the shaded region?
b) The area of a circle is \(4\pi\) m\(^{2}\). What is the area of the shaded region? c) What is the area of the shaded region if the radius is \(6\) m? d) What is the area of the shaded region if the radius is \(15.5\) ft.? e) If the radius of a circle is \(13\) in., what is the area of the semicircle? |
12) A method of irrigating crops called "center pivot irrigation" where a series of connected pipes (collected to wheel towers) spin about a center point where the water comes from is common in many dry climates. In this way, a large amount of crops can be sprinkled with water. The crops then have a circular pattern when seen from overhead (from a plane or satellite).
Suppose a \(300\) ft. pivot rotates \(195^{\circ}\) degrees as shown in the diagram. What is the area of the crops?
Suppose a \(300\) ft. pivot rotates \(195^{\circ}\) degrees as shown in the diagram. What is the area of the crops?
14) Some sophomore students surveyed regarding their favorite math class. The responses were as follows: