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Year 8 Maths Area and Perimeter

Arc Lengths

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Questions
Question 1
201834

This sector has a radius of \(4~\text{cm}\) and an angle of \(90^\circ\) at the centre.

Quarter-circle sectorA sector with a 90 degree angle at the centre, radius 4 cm; the curved arc is marked l 90° 4 cm l
(i) What fraction of the whole circle is this sector?
(ii) Find the arc length \(l\), in terms of \(\pi\).
Part a:
A.
\(\dfrac{1}{2}\)
B.
\(\dfrac{1}{4}\)
Correct
C.
\(\dfrac{1}{3}\)
D.
\(\dfrac{1}{90}\)
Part b:
A.
\(8\pi\) cm
B.
\(\pi\) cm
C.
\(2\pi\) cm
Correct
D.
\(4\pi\) cm

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