Homework Help is Here – Start Your Trial Now!
Math
Geometry
3. Find the radius and area for a circle whose circumference is 74.8 in.

3. Find the radius and area for a circle whose circumference is 74.8 in.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.4: Arc Length And Area Of A Sector
Problem 66PS
See similar textbooks
icon
Related questions
Question
Number 3
11:04 PM Wed Sep 21 = Section 4 The Circle Our second theorem concerns two tangents to a circle drawn from an external point, Fig. 6-68. Two Tangents Drawn to a Circle Here, PA equals PB. Also, angle APC equals angle BPC. Turning now from tangents to chords, Fig. 6-69, we have the theorem If two chords in a circle intersect, the product of the parts of one chord equals the product of the parts of the other chord Here, Intersecting Chords Two tangents drawn to a circle from a point outside the circle make equal angles with a line drawn from the circle's center to the external point. The distances from the external point to each point of tangency are equal. +++ Example 22: Find x in Fig. 6-70. Solution: By theorem 85 we can write 刀 ab = cd 16.3x10.1(12.5) x = : 10.1(12.5) 16.3 = 7.75 84 85 Semicircle Any angle inscribed in a semicircle is a right angle. +++ Example 23: Find the distance x in Fig. 6-71. Solution: By statement 82, we know that = 90°. Then, by the Pythagorean theorem, x=√(250)² (148)² = 201 82 *** Exercise 4 The Circle 1. Find the circumference and area of a circle of radius 4.82 cm. 2. Find the circumference and area of a circle of radius 2.385 in. 3. Find the radius and area for a circle whose circumference is 74.8 in. 4. Find the radius and area for a circle whose circumference is 2.73 m. 5. Find the radius and circumference of a circle whose area is 39.5 ft². 6. Find the radius and circumference of a circle whose area is 2.74 m². 7. Inscribed and Circumscribed. A polygon is said to be inscribed in a circle if every vertex of the polygon lies on the circle. The circle is then said to be cir- cumscribed about the polygon. A polygon is said to be circumscribed about a circle if the circle is tangent to each side of the polygon. The circle is then said to be inscribed in the polygon. 8+1 QAA Ę FIGURE 6-68 a FIGURE 6-69 16.3 12.5 FIGURE 6-70 0 FIGURE 6-71 A 193/1040 B 10.1 193 b Semicircle of radius = 125 x 91%
Transcribed Image Text:11:04 PM Wed Sep 21 = Section 4 The Circle Our second theorem concerns two tangents to a circle drawn from an external point, Fig. 6-68. Two Tangents Drawn to a Circle Here, PA equals PB. Also, angle APC equals angle BPC. Turning now from tangents to chords, Fig. 6-69, we have the theorem If two chords in a circle intersect, the product of the parts of one chord equals the product of the parts of the other chord Here, Intersecting Chords Two tangents drawn to a circle from a point outside the circle make equal angles with a line drawn from the circle's center to the external point. The distances from the external point to each point of tangency are equal. +++ Example 22: Find x in Fig. 6-70. Solution: By theorem 85 we can write 刀 ab = cd 16.3x10.1(12.5) x = : 10.1(12.5) 16.3 = 7.75 84 85 Semicircle Any angle inscribed in a semicircle is a right angle. +++ Example 23: Find the distance x in Fig. 6-71. Solution: By statement 82, we know that = 90°. Then, by the Pythagorean theorem, x=√(250)² (148)² = 201 82 *** Exercise 4 The Circle 1. Find the circumference and area of a circle of radius 4.82 cm. 2. Find the circumference and area of a circle of radius 2.385 in. 3. Find the radius and area for a circle whose circumference is 74.8 in. 4. Find the radius and area for a circle whose circumference is 2.73 m. 5. Find the radius and circumference of a circle whose area is 39.5 ft². 6. Find the radius and circumference of a circle whose area is 2.74 m². 7. Inscribed and Circumscribed. A polygon is said to be inscribed in a circle if every vertex of the polygon lies on the circle. The circle is then said to be cir- cumscribed about the polygon. A polygon is said to be circumscribed about a circle if the circle is tangent to each side of the polygon. The circle is then said to be inscribed in the polygon. 8+1 QAA Ę FIGURE 6-68 a FIGURE 6-69 16.3 12.5 FIGURE 6-70 0 FIGURE 6-71 A 193/1040 B 10.1 193 b Semicircle of radius = 125 x 91%
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS