LEARNING TASK 4: SOLVE THE FOLLOWING PROBLEMS. WRITE YOUR SOLUTION.
1 A CIRCULAR FOUNTAIN WITH A 5-M TRADUCE LIES ALONG THE CENTER OF A CIRCULAR PARK WITH A 70-M RADIUS CALCULATE THE TOTAL WALKING AREA AVAILABLE TO PEDESTRIANS VISITING THE PARK.
2. A CIRCULAR POND HAS A RADIUS OF 4.5 M HOW MUCH MATERIALS WILL BE NEEDED IF YOU PLAN TO PUT A FENCE AROUND IT WHAT IS THE AREA OF THE POND?
3. THE DIAMETER OF A DRUM IS 150 CM WHAT IS THE AREA OF THE SPACE WHERE THE DRUM STANDS?
4. RACHEL IS MAKING A CIRCULAR TABLECLOTH WITH A RADIUS OF 48 DM HOW MANY METERS OF MATERIALS WILL BE SHE NEEDED?
5. A CIRCULAR CLOCK WITH A CIRCUMFERENCE OF 75 CM IS ATTACHED ON A WALL HOW MUCH AREA OF THE WALL DID IT OCCUPY?
pls answer it
Answers & Comments
Answer:
To get the total walking area available to pedestrians visiting the park, we need to do the following:
Get the area of circular fountain (with a 5-m radius)
Get the area of circular park (with a 70-m radius)
Get the difference between the area of the circular park and the area of the circular fountain.
We need to get the difference of the areas because the area of the circular fountain cannot be used as a walking area. Finding the difference means we are subtracting the area not used for walking from the total area of the park. Since both the fountain and the park is a circle, we will use the formula of getting the area of a circle. To get the area of a circle, we will use the formula, A = \pi r^{2}A=πr
2
where r represents the radius of a perfect circle. This is also explained in: brainly.ph/question/105449 and brainly.ph/question/110314. For the solution:
Area of the circular fountain:
\begin{gathered}r = 5\\\\A = \pi r^{2} \\A = 5^{2} \pi \\A = 25\pi \\A = 78.5398163397 m^{2}\end{gathered}
r=5
A=πr
2
A=5
2
π
A=25π
A=78.5398163397m
2
Area of the circular park:
\begin{gathered}r = 70 m\\\\A = \pi r^{2} \\A = 70^{2} \pi \\A = 4900 \pi \\A = 15393.8040026 m^{2}\end{gathered}
r=70m
A=πr
2
A=70
2
π
A=4900π
A=15393.8040026 m
2
Difference of areas:
Difference = 15393.8040026 - 78.539816339715393.8040026−78.5398163397
Difference = 15315.2641863 m^{2}15315.2641863 m
2
= 15315.26 m^{2}15315.26m
2
Answer:
The total walking area available to pedestrians visiting the park is 15, 315.26 m². Note that we used the not rounded exact values of areas to get the correct and exact difference