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Hm In a class of 40 students,if 8 students take gardenia as a hobby,the central angle of the sector representing the students who have taken gardening as a hobby. (a) 72 degree (b) 90 degree (c) 50 degree (d) 30 degree Correct answer is (a)72 degree can you explain me please?
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Hm In a class of 40 students,if 8 students take gardenia as a hobby,th...
To find the central angle of the sector representing the students who have taken gardening as a hobby, we need to use the concept of proportions.

Given:
Total number of students in the class = 40
Number of students who take gardening as a hobby = 8

To find the central angle, we can set up a proportion between the number of students who take gardening as a hobby and the total number of students in the class.

Let x be the central angle representing the students who have taken gardening as a hobby.

Using the proportion,
8/40 = x/360

Simplifying the proportion,
1/5 = x/360

To solve for x, cross-multiply and divide,
x = (1/5) * 360
x = 72

Therefore, the central angle representing the students who have taken gardening as a hobby is 72 degrees.

- To find the central angle of a sector, you can set up a proportion between the number of students who have taken gardening as a hobby and the total number of students in the class.
- In this case, the proportion is 8/40 = x/360, where x represents the central angle we want to find.
- Cross-multiplying and dividing gives us x = (1/5) * 360, which simplifies to x = 72.
- Therefore, the central angle representing the students who have taken gardening as a hobby is 72 degrees.
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Hm In a class of 40 students,if 8 students take gardenia as a hobby,the central angle of the sector representing the students who have taken gardening as a hobby. (a) 72 degree (b) 90 degree (c) 50 degree (d) 30 degree Correct answer is (a)72 degree can you explain me please?
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Hm In a class of 40 students,if 8 students take gardenia as a hobby,the central angle of the sector representing the students who have taken gardening as a hobby. (a) 72 degree (b) 90 degree (c) 50 degree (d) 30 degree Correct answer is (a)72 degree can you explain me please? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Hm In a class of 40 students,if 8 students take gardenia as a hobby,the central angle of the sector representing the students who have taken gardening as a hobby. (a) 72 degree (b) 90 degree (c) 50 degree (d) 30 degree Correct answer is (a)72 degree can you explain me please? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hm In a class of 40 students,if 8 students take gardenia as a hobby,the central angle of the sector representing the students who have taken gardening as a hobby. (a) 72 degree (b) 90 degree (c) 50 degree (d) 30 degree Correct answer is (a)72 degree can you explain me please?.
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