Given:
Segment AD is perpendicular to segment BC.
D is the midpoint of segment BC.
To prove:
Solution:
The two column proof is shown below:
Statements Reasons
1. , D is the midpoint of 1. Given
2. 2. Definition of midpoint
3. 3. Definition of perpendicular lines
4. 4. Substitution
5. 5. Definition of congruence
6. 6. Reflexive property
7. 7. SAS congruence postulate
Hence proved.
Area of the circle outside
= πr2
= π(5)2
=25 π
Area of the bigger circle inside
= π x(3)2
= 9 π
Area of the smaller circle inside
= π x (2)2
= 4 π
Area of shaded region
= 25π - 9π - 4π
= 12π square unit
Answer is 2222222222222222222 jk it’s 2