maths circle
posted by anchal .
A chord of length 10 cm divides a circle of radius 5root2 cm in two segments. find the area of minor segment.

You know that the area of a segment is
a = 1/2 r^2 (θsinθ)
Draw a diagram. It is clear that
sin θ/2 = 5/5√2, so θ/2 = π/4
Now plug and chug
Respond to this Question
Similar Questions

Maths
What is the area of the minor segment cut off a circle of radius 10 cm by a chord of length 12 cm? 
Maths
AB is a chord with centre O and radius 4 cm. AB is of length 4 cm and divides the circle into two segments. Find d area of minor segment. A chord PQ of length 12cm suntends an angle of 120 degree at the centre of a circle. Find the … 
Copperbelt international college
A chord PQ of length 5.6cm divides a circle of radius 3.5cm into two segments.calculate the difference in areas between major and minor segment in the circle of chord PQ. 
Solid Mensuration
A circle having an area of 452 square inches is cut into two segments by a chord, which is 6 inches from the center of the circle. Find the area of the bigger segment. 
math
A cord AB of length 4cm divides a circle of radius 3.3cm into two segments.find the area of each segment. 
Maths
1. In the xycoordinate plane, point A is the midpoint of the segment with endpoints (2,4) and (4,4). What is the distance from point A to the origin? 
Geometry
A chord PQ of a circle with radius r subtends an angle B at the center. Show that the area of the minor segment PQ=1/2.r^2.(BsinB) and write down the area of the major segment PQ interms of r and B. 
Mathematics
Mathematics: A chord of radius 12cm subtends an angle of 150 degree at the centre of the circle. Calculate. A. Perimeter of the circle (Ps) B. Area of the circle. (Account) C. Length of the circle (Lc) D. Length of the arc (Last) E. … 
solid mensuration
a circle having an area of 452 square inches is cut into segments by a chord, which is 6cm from the center of the circle. Find the area of the bigger segment. 
Geometry
Express answer in exact form. Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius. (Hint: A chord divides a circle into two segments. In problem 1, you found the area of the smaller segment.) I've …