Question

OA is the radius of a circle with center O. Chord AB is at a distance of 5 em fim center and measures 8 em Find the circumference of the circle correct to two decimal places​

Answer 1

Step-by-step explanation:

AB=

25+25

=

50

=5

2

cm

Major area of AB= Area of shaded part +ar(ΔAOB)

=

4

3

πr

2

+

2

1

+b×h

=(

4

3

×3.14×5×5)+

2

1

×5×5

=58.87+12.5

=71.37cm

2

Minor area of AB=

4

1

quadrant of circle −ar(ΔAOB)

=

4

1

×πr

2

−

2

1

×b×h

=

4

1

×3.14×5×5−

2

1

×5×5

=19.62−12.5

=7.12cm

2