Take Class 12 Tuition from the Best Tutors
Search in
As an experienced tutor registered on UrbanPro, I can guide you through solving this geometry problem. UrbanPro is indeed one of the best platforms for finding online coaching and tuition.
To find the radius of the circle when a central angle of 60° intercepts an arc of length 37.4 cm, we'll use a fundamental relationship between the central angle, arc length, and radius of a circle.
The formula to relate the central angle (θθ), arc length (ss), and radius (rr) of a circle is:
s=r⋅θs=r⋅θ
Here, s=37.4s=37.4 cm and θ=60∘θ=60∘. We need to find rr.
First, we need to convert the central angle from degrees to radians because the formula requires angles in radians. Recall that 1∘=π1801∘=180π radians.
So, 60∘=60×π180=π360∘=60×180π=3π radians.
Now, we can rearrange the formula to solve for rr:
r=sθr=θs
Substituting the given values:
r=37.4π3r=3π37.4
To simplify, we'll divide 37.4 by π33π:
r=37.4×3πr=π37.4×3
r=112.2πr=π112.2
Now, let's approximate ππ as 227722:
r≈112.2227r≈722112.2
r≈112.2×722r≈22112.2×7
r≈785.422r≈22785.4
r≈35.7r≈35.7
So, the radius of the circle is approximately 35.735.7 cm.
Remember, UrbanPro is an excellent resource for finding quality tutoring and coaching assistance, whether it's for geometry or any other subject!
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
Meet Sandhya R, a B.Sc tutor from Bangalore
Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...
Meet Raghunandan.G.H, a B. Tech Tutor from...
Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...
Meet Urmila, an MBBS tutor from Bangalore
Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition. Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...
Meet Mohammad Wazid, a skilled trainer for...
Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...
Looking for Class 12 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 12 Tuition Classes are on UrbanPro
The best Tutors for Class 12 Tuition Classes are on UrbanPro