Circular Measure: worked exam questions
7 solved circular measure questions, each worked line by line the way the 0606 mark scheme rewards. Learn the method in the Circular Measure topic notes, then see it applied here.
Arc Length and the Perimeter of a Sector
Find the arc length and full perimeter of a sector with radius 8 cm and angle 1.2 radians, a 0606 circular-measure question with the classic perimeter trap.
Area and Perimeter of an Annular Sector
Find the area and perimeter of the region between two concentric arcs, combining sector formulae with the two straight edges, a 0606 circular-measure question.
Area of a Segment of a Circle
Find the area of a minor segment using sector area minus triangle area, a 0606 circular-measure question and the topic's most examined 'combined' shape.
Finding the Angle from the Arc Length
Find a sector's angle from its arc length and radius, then its area, a 0606 circular-measure question running the arc formula in reverse.
Perimeter of a Segment
Find the perimeter of a segment using the arc length and the chord (via the cosine rule), a 0606 circular-measure question combining two skills.
Sector Area, and Finding the Angle from the Perimeter
Given a sector's perimeter and radius, find its angle in radians and its area, a 0606 circular-measure question that runs the formulae in reverse.
Working in Radians with Exact Values
Convert an angle to radians, then find an exact arc length and sector area in terms of π, a 0606 Paper 1 circular-measure question with no decimals allowed.
Worked examples show the routine. A tutor builds it into your child.
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