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# Mathematics Past Questions | JAMB, WAEC, NECO and Post UTME Past Questions

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### Question 5501

A circle with a radius 5cm has its radius increasing at the rate of 0.2cm/s. What will be the corresponding increase in the area?

### Options

A)
$$3\pi$$
B)
$$4\pi$$
C)
$$2\pi$$
D)
$$5\pi$$

### Question 5502

A circle of perimeter 28cm is opened to form a square. What is the maximum possible area of the square?

### Options

A)
56 $$cm^{2}$$
B)
98 $$cm^{2}$$
C)
49 $$cm^{2}$$
D)
28 $$cm^{2}$$

### Question 5503

A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

### Options

A)
$$30 \pi cm^{2}$$
B)
$$60 \pi cm^{2}$$
C)
$$120 \pi cm^{2}$$
D)
$$150 \pi cm^{2}$$