Question

1. a dog is tied with a rope to a stake in the ground. the length of the rope is 5 yards. what is the area, in square yards, in which the dog can roam? (1) 20 (2) 10π (3) 25 (4) 25π

Explanation:

Step1: Recall area - of - a - circle formula

The area of a circle is given by $A = \pi r^{2}$, where $r$ is the radius of the circle. The dog's roaming area is a circle with the length of the rope as the radius.

Step2: Identify the radius

The length of the rope is $r = 5$ yards.

Step3: Calculate the area

Substitute $r = 5$ into the formula $A=\pi r^{2}$, we get $A=\pi\times(5)^{2}=25\pi$ square yards.

Answer:

(3) $25\pi$