A circle has a radius of 6 cm. A sector of this circle has a perimeter of . Find the area of this sector.
Did this page help you?
A circle has a radius of 6 cm. A sector of this circle has a perimeter of . Find the area of this sector.
Did this page help you?
The diagram shows the sector of a circle with centre and radius 7 cm.
Angle radians. Find the perimeter of the shaded region.
Did this page help you?
The diagram shows an isosceles triangle such that and angle .
Points and lie on and respectively such that is an arc of the circle, centre , radius . The area of the sector .
Show that .
Find the perimeter of the shaded region.
Find the area of the shaded region.
Did this page help you?
The diagram shows a rectangle and an arc of a circle with centre at , the midpoint of .
The length of is and the length of is . Angle is radians.
Find the perimeter of the shape .
Find the area of the shape .
Did this page help you?
In this question all lengths are in centimetres.
The diagram shows a shaded shape. The arc is the major arc of a circle, centre , radius 10. The line is of length 15, the line is of length 25 and the lengths of and are equal.
Show that the angle is 1.70 radians correct to 2 decimal places.
Find the perimeter of the shaded shape.
Find the area of the shaded shape.
Did this page help you?
In this question all lengths are in centimetres and all angles are in radians.
The diagram shows the rectangle , where . The points and lie on such that . The curve is an arc of the circle, centre , radius and has a length of .
Show that the perimeter of the shaded region is .
Find the area of the shaded region, giving your answer in the form , where is a constant correct to 2 decimal places.
Did this page help you?
The diagram shows an isosceles triangle such that and angle radians. The points and lie on and respectively. is an arc of length 9.6 cm of the circle, centre , radius 12 cm. The arc touches the line at the point .
Find the value of .
Find the total area of the shaded regions.
Find the total perimeter of the shaded regions.
Did this page help you?
The circles with centres and have equal radii of length . The line is a radius of both circles. The two circles intersect at and .
Given that the perimeter of the shaded region is , find the value of . [4]
Find the exact area of the shaded region.
Did this page help you?
In this question all lengths are in centimetres.
The diagram shows the figure . The arc is part of a circle, centre , radius , and is of length . The point lies on the straight line such that .
Find, in radians, the angle .
Find the area of , giving your in the form , where is a constant.
Given that the perimeter of is , find the value of .
Did this page help you?
The diagram shows a shape consisting of two circles of radius 3 cm and 4 cm with centres and which are 5 cm apart. The circles intersect at and as shown. The lines and are tangents to the circles, centres and respectively. Find the angle in radians.
Find the perimeter of the whole shape.
Find the area of the whole shape.
Did this page help you?