How many dogs are in a park if there are 15 dogs?
2 answers:
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Answer:
Step-by-step explanation:
1.Approach
To solve this problem, find the area of the larger circle, and the area of the smaller circle. Then subtract the area of the smaller circle from the larger circle to find the area of the shaded region.
2.Find the area of the larger circle
The formula to find the area of a circle is the following,
Where (r) is the radius, the distance from the center of the circle to the circumference, the outer edge of the circle. () represents the numerical constant (3.1415...). One is given that the radius of (8), substitute this into the formula and solve for the area,
3.Find the area of the smaller circle
To find the area of the smaller circle, one must use a very similar technique. One is given the diameter, the distance from one end to the opposite end of a circle. Divide this by two to find the radius of the circle.
8 ÷2 = 4
Radius = 4
Substitute into the formula,
4.Find the area of the shaded region
Subtract the area of the smaller circle from the area of the larger circle.
Solution:
Given expression is .
To simplify the expression
Let us first convert the mixed fraction into improper fraction.
Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.
Now, divide 51 by 8 and again write it in the mixed fraction.
Hence, the simplified answer is .