The area of a circle is 38.5cm2. Find its diameter [take \(\pi = \frac{22}{7}\)]
22cm
14cm
7cm
6cm
Correct answer is C
\(\pi r^2 = 38.5\\
\frac{}{} = r^2 = 38.5\\
r^2 = \frac{38.5 \times 7}{22}\\
r = \sqrt{12.25} = 3.5\\
diameter = 2r = 2 \times 3.5 = 7cm\)
In the diagram, |PQ| = |PS| Which of the following statements is true?
∠QPS = QRS
|PO| = |RO|
QR||PS
∠PQR=∠PSR
Correct answer is D
No explanation has been provided for this answer.
8.74cm
38.2cm
61.2cm
76.4cm
Correct answer is B
Length of arc = \(\frac{\theta}{360} \times 2\pi r\)
\(50 = \frac{75}{360} \times 2 \times \frac{22}{7} \times r\)
\(r = \frac{50 \times 360 \times 7}{75 \times 2 \times 22}\)
\(r = \frac{420}{11}\)
= 38.18 cm \(\approxeq\) 38.2 cm (3 sig. figs)
5.0cm
6.9cm
10.0cm
20.0cm
Correct answer is D
Area of trapezium = \(\frac{1}{2} (a + b)h\)
\(120 = \frac{1}{2} (5 + 7) \times h\)
\(120 = 6h\)
\(h = 20 cm\)
8 hours
6hr 15min
4hr 25min
3 hours
Correct answer is B
Total capacity of the container = 45 liters = 45 x 1000
= 45000 cm\(^3\)
Time to fill the container = \(\frac{45000}{2}\)
= 22500 seconds
= \(\frac{22500}{3600}\)
= 6 hr 15 mins
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