Asector of a circle is shown. find its area, rounded to the nearest tenth.

a)
9.8 cm2

b)
10.5 cm2

c)
11.2 cm2

d)
12.3 cm2

*i would like to know how you did it too*

Area of a circle = pi * radius^2
But we're not talking about a whole circle, but a portion of the circle.
The proportion of the area of the whole circle occupied by this sector is equal to the ratio of the created angle to the angle of a whole circle;
that may seem a bit confusing but basically:
Area of the sector = pi * radius^2 * 68/360
so...
Area = pi * (4.2)^2 * 68/360
= 10.467...
= 10.5 cm^2