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A circle has a radius of 7 cm. Calculate for the circle, the diameter, circumference, and area.
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12 stepsHere are the solutions to the questions.
27. In this question take to be .
A circle has a radius of 7 cm.
a) Calculate for the circle, the diameter.
Use the formula for diameter.
The diameter () of a circle is twice its radius ().
Substitute the given radius and calculate.
The diameter is .
b) Calculate for the circle, the circumference.
Use the formula for circumference.
The circumference () of a circle is given by or .
Using :Calculate the circumference.
The circumference is .
c) Calculate for the circle, the area.
Use the formula for area.
The area () of a circle is given by .
Calculate the area.
The area is .
28. The table below shows the frequency table of the distribution of time taken by learners in a class to complete a Mathematical question.
Time (minutes) () 3 4 5 6 7 8 Frequency () 4 7 14 10 2 2 a) Calculate the mean time taken by pupils to complete the question.
Calculate the sum of (frequency time) for all categories.
Calculate the total frequency (total number of pupils).
Calculate the mean time.
The mean time taken is (to 3 significant figures).
b) Pupils who took more than 5 minutes were given another question. A pupil was randomly chosen from the class. Find the probability that the pupil was given another question.
Identify the number of pupils who took more than 5 minutes.
These are pupils who took 6, 7, or 8 minutes.
Number of pupils = (Frequency for 6 minutes) + (Frequency for 7 minutes) + (Frequency for 8 minutes)State the total number of pupils.
From part (a), the total number of pupils is .
Calculate the probability.
The probability that the pupil was given another question is .
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