Respuesta :
Answer:
A = 31.4 inches^2 to the nearest tenth of a square inch
Step-by-step explanation:
In this question, we are asked to calculate the area of the sector of a circle given the value of the radius and the angle subtended at the centre.
To calculate this, we employ a mathematical approach.
The area of the sector of a circle can be calculated as follows
A = ϴ/360 * π * r^2
Where ϴ is the angle subtended which is 100 and r is the radius.
Thus, we have
A = 100/360 * 22/7 * 6 * 6
A = 31.428 inches^2
To the nearest tenth of a square inch, A = 31.4 inches^2
Area of the shaded sector of circle is 31.4 square inches
Given that;
Central angle = 100°
Radius of circle = 6 inches
Find:
Area of the shaded sector of circle
Computation:
Area of the shaded sector of circle = [θ / 360][πr²]
Area of the shaded sector of circle = [100 / 360][(3.14)(6)²]
Area of the shaded sector of circle = [100 / 360][(3.14)(36)]
Area of the shaded sector of circle = [0.2778][113.04]
Area of the shaded sector of circle = 31.4 square inches
Learn more:
https://brainly.com/question/23328170?referrer=searchResults
