If radius of circle is 7 cm and aob=90 degree find area of shaded region
Answers
Given : radius of the circle is 7cm
∠AOB = 90°
To Find : area of the shade region
Solution:
Area of Shaded region = Area of circle - Area of ΔAOB
Area of circle = πr²
= π (7)²
= (22/7) 7²
= 154 cm²
ΔAOB is right angle triangle as ∠AOB = 90°
Area of ΔAOB = (1/2) * OA * OB
= (1/2) * 7 * 7
= 24.5 cm²
Area of Shaded region = 154 - 24.5 cm²
= 129.5 cm²
Area of Shaded region = 129.5 cm²
Learn More:
find the area of the shaded region if PAST is square of side 14cm ...
https://brainly.in/question/7353537
find the area of the shaded region if the radius of each of the circles ...
https://brainly.in/question/5080554
Step-by-step explanation:
Area of shaded portion=Area of sector-Area of Right angled triangle.
Area of sector=
4
π×(7cm)
2
=38.5cm
2
Area of triangle:
2
1
×(7cm)×(7cm)=24.5cm
2
Thus Area of shaded portion=(38.5−24.5)cm
2
=14cm square