MediumMathematicsHigh School (9–10)Mensuration › Areas and PerimetersNumericalword problemBoard ExamSAT
A circular playground has a diameter of 56 m…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A circular playground has a diameter of . A fence round it costs rupees for each metre. Turf for the whole ground costs rupees for each square metre. Find the cost of the fence, the cost of the turf and the total cost. Take .
Need a reminder? The key ideaShow
The circumference is and the area is . Use only when the question says so. Change all lengths to one unit first, and remember .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. , so .
Step 1. The fence. . The cost is rupees.
Step 2. The turf. . The cost is rupees.
Step 3. The total. rupees.
Answer: the fence costs rupees, the turf costs rupees, and the total is rupees.
Watch out. The fence is a length, so it uses the circumference. The turf is a surface, so it uses the area.
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