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class 10 maths
chapter area related to circle
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class 10 maths
chapter area related to circle
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Step-by-step explanation: The image shows a whiteboard with a bunch of drawings on it. The text related to area related to circle questions is:
Area of Sector of A &= 35cm
AB|| CD
Area of each shaded part
A\hat{B}=CD
r
Questions
Area of Sector of A &= 35cm
This is a direct question. Since the area of the sector is equal to 35cm, we can use the following formula:
Area of sector = (theta / 360) * pi * r^2
where theta is the central angle of the sector and r is the radius of the circle.
We can rearrange the formula to solve for theta:
theta = (Area of sector / (pi * r^2)) * 360
Substituting in the given values, we get:
theta = (35cm / (pi * 10cm^2)) * 360 = 126.5 degrees
Therefore, the central angle of Sector of A is 126.5 degrees.
Area of each shaded part
This is a slightly more challenging question. To solve it, we need to first determine the area of the rectangle formed by AB and CD. Since AB||CD, we know that the area of the rectangle is simply length * width = length * length (since AB=CD). We can see from the image that the length of AB is 20cm. Therefore, the area of the rectangle is 20cm * 20cm = 400cm^2.
Next, we need to determine the area of the sector of the circle. We can use the same formula as above:
Area of sector = (theta / 360) * pi * r^2
where theta is the central angle of the sector and r is the radius of the circle.
We can see from the image that the central angle of the sector is equal to the angle between AB and CD. This angle is marked as 12.0 degrees. We also know from the image that the radius of the circle is 10cm.
Substituting in the given values, we get:
Area of sector = (12.0 degrees / 360 degrees) * pi * 10cm^2 = 10.5cm^2
Therefore, the area of the sector is 10.5cm^2.
Finally, we can determine the area of each shaded part by subtracting the area of the sector from the area of the rectangle:
Area of each shaded part = Area of rectangle - Area of sector = 400cm^2 - 10.5cm^2 = 389.5cm^2
Therefore, the area of each shaded part is 389.5cm^2.
Topics Covered in Class 10 Math Chapter 12. In this chapter, students will learn the following 5 points: The formula to calculate the circumference of circle is 2πr. The formula to calculate the area of circle is πr2