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JAMB Mathematics Past Questions & Answers - Page 87

431.

An arc of the length 16πcm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.

A.

24cm

B.

28cm

C.

36cm

D.

32cm

Correct answer is C

L = θ360 x 2πr
16π = 80360 x 2πr

16π×36080×2π = r

r = 36cm

432.

Evaluate π20 sin xdx

A.

2

B.

-1

C.

1

D.

-2

Correct answer is C

π20 sin xdx = -cosx|π2

= -(cosπ2 - cos0) = -(0-1) = 1

433.

An arc subtends an angle of 30<sup>o</sup> at the centre of a circle radius 12cm. Calculate the length of the arc.

A.

6πcm

B.

2πcm

C.

3πcm

D.

9πcm

Correct answer is B

Length or arc = θ360 x 2πr

= 30360 x 2 x 227 x 12

= 112 x 2 x π x 2 = 2πcm

434.

Evaluate 0.8×0.43×0.0310.05×0.72×0.021. Correct to four significant figures.

A.

14.09

B.

14.1

C.

14.12

D.

14.11

Correct answer is D

0.8×0.43×0.0310.05×0.72×0.021 x 1010 = 14.11

435.

Find dydx, if y = 23 x3 - 4x

A.

3x2 - 4x

B.

2x2 +4x2

C.

3x2 + 4x2

D.

2x2 - 4x

Correct answer is B

No explanation has been provided for this answer.