Answer:
radius = 5 in
Step-by-step explanation:
Using the formula for calculating the area (A) of a circle
A = πr² ( r is the radius )
here A = 78.5, hence
3.14r² = 78.5 ( divide both sides by 3.14 )
r² = = 25 ( take the square root of both sides )
r = = 5
Answer:
The proof is given below.
Step-by-step explanation:
Given m∠AEB = 45° and ∠AEC is a right angle. we have to prove that EB divides ∠AEC into two congruent angles, it is the angle bisector.
Given ∠AEC=90° (Given)
∠AEC=∠AEB+∠BEC
⇒ 90° = 45° +∠BEC (Substitution Property)
By subtraction property of equality
⇒ ∠BEC = 90° - 45° = 45°
Hence, both angles becomes equal gives ∠AEB≅∠BEC
Since EB divides ∠AEC into two congruent angles, ∴ EB is the angle bisector.
