Tutorial 11 Circular Measure
1.
In the diagram,
OAB
is a sector of a circle with centre
O
and radius 8 cm. Angle
BOA
is
α
radians.
OAC
is a semicircle with diameter
OA
. The area of the semicircle
OAC
is twice
the area of the sector
OAB
.
(i) Find
α
in terms of π.
(ii)
Find the perimeter of the complete figure in terms of π.
2.
The diagram shows a square
ABCD
of side 10 cm. The mid-point of
AD
is
O
and
BXC
is an arc of
a circle with centre
O
.
(i) Show that angle
BOC
is 0.9273 radians, correct to 4 decimal places.
(ii) Find the perimeter of the shaded region.
(iii) Find the area of the shaded region.

** Subscribe** to view the full document.