A plot of land is in the shape of semicircle of diameter 28 meters.
The plot fenced by erecting posts 4 meters apart. How many posts were used? (Take π
=22/7)
along diameter 28/4 + 1 = 8
around semicircle pi D/2 = 14 pi = 14(22/7) = 44 meters or 11 spaces
none at ends, already there, so
11-1 = 10
total of 18
To find the number of posts used to fence the plot, we need to calculate the circumference of the semicircle and divide it by the distance between each post.
Step 1: Calculate the radius of the semicircle
The diameter is given as 28 meters, and the radius is half the diameter.
Radius = Diameter / 2 = 28 / 2 = 14 meters.
Step 2: Calculate the circumference of the semicircle
The formula for the circumference of a circle is C = 2πr, but since we have a semicircle, we need to use half of the circumference formula.
Circumference = (2πr) / 2 = πr = (22/7) * 14 = 44 meters.
Step 3: Calculate the number of posts
The distance between each post is given as 4 meters. To find the number of posts, we need to divide the circumference by the distance between each post.
Number of posts = Circumference / Distance between each post
Number of posts = 44 / 4 = 11.
Therefore, 11 posts were used to fence the plot.
To find the number of posts used to fence the plot, we need to calculate the circumference of the semicircle.
The circumference of a semicircle can be calculated using the formula:
C = πd/2
Given that the diameter (d) of the semicircle is 28 meters, we can substitute this value into the formula:
C = (22/7) * 28 / 2
C = 22 * 4
C = 88 meters
To find the number of posts used, we divide the total length of the fence (circumference) by the distance between each post, which is 4 meters:
Number of posts = Circumference / Distance between posts
Number of posts = 88 / 4
Number of posts = 22
Therefore, 22 posts were used to fence the plot.