<p>The diagram shows a sector \(POQ\) of a circle.</p>
<p>The radius of the sector is \(32\) cm and the angle is \(135{}^\circ \).</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1767517950825-0d324k7j12m7.png" style="max-width: min(250px, 100%); height: auto; display: block;" alt="Sector POQ with radius 32 cm and central angle 135 degrees." class="aligncenter custom-width" /></figure></div>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Calculate the arc \(PQ\) in terms of \(\pi\).</span></div></li></ol>
<p>The sector is used to make a hollow cone by joining the edges \(OP\) and \(OQ\).</p>
<ol class="abc-list" start="2"><li><div class="list-item-content"><span class="list-item-text">Calculate</span></div><ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">the radius of the base of the cone.</span></div></li><li><div class="list-item-content"><span class="list-item-text">the curved surface area of the cone, giving your answer in terms of \(\pi\).</span></div></li></ol></li></ol>

The diagram shows a sector \(POQ\) of a circle.

The radius of the sector is \(32\) cm and the angle is \(135{}^\circ \).

Calculate the arc \(PQ\) in terms of \(\pi\).

The sector is used to make a hollow cone by joining the edges \(OP\) and \(OQ\).

Geometric Analysis: Relationships Between Central Angles, Arc Length, and Area

Geometric Analysis: Relationships Between Central Angles, Arc Length, and Area

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