find the area of segment of theta = 120 and AB = 30°
solve the question given by the figure
question is based on area related to circle class 10th
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find the area of segment of theta = 120 and AB = 30°
solve the question given by the figure
question is based on area related to circle class 10th
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Answer:
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Step-by-step explanation:
is ka answer nhi aata
Answer:
Step-by-step explanation: To calculate the area of the segment, we need to calculate the area of the sector and then subtract the area of the triangle AOB.
The area of the sector is given by the formula:
A_s = (θ/360)πr²
where:
θ is the central angle of the sector in degrees
r is the radius of the circle
In this case, θ = 120° and r = 30°. Therefore, the area of the sector is:
A_s = (120/360)π(30)²
A_s = 10π cm²
The area of the triangle AOB is given by the formula:
A_t = 1/2bh
where:
b is the base of the triangle
h is the height of the triangle
In this case, b = 30° and h = 30°. Therefore, the area of the triangle AOB is:
A_t = 1/2(30)(30)
A_t = 450 cm²
Therefore, the area of the segment is:
A_s - A_t = 10π cm² - 450 cm²
A_s - A_t = -440 cm²
Since the area of a segment cannot be negative, we know that the answer is 440 cm².
Answer: 440 cm²