Mensuration Practice Test 8

Question : 13 of 40

Marks: +1, -0

A semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. Given AC = 2 and CD = 6 cm. The area of the semicircle (in sq. cm) will be:

32π
50π
40.5π
81π
Undeterminable

Validate

Solution:

AC× BC =

CD^2

2 × BC = 6
2 × BC = 36
BC = 18 cm
So, AB = 18 + 2 = 20 cm
Radius = 10 cm
Area of semicircle =

1/2 πr^2

1/2 π 10 × 10

= 50π

Go to Question:

Prev Question

Next Question