Question

Use your findings from problem 8-79 to answer the questions below. Recall that the diameter of a circle is a segment with endpoints on the circle that passes through the center. The length of the segment is also called the diameter.

Answer 1

Answer:

See below ↓↓↓↓

Step-by-step explanation:

a) Area of circle with radius 10 units

• A = πr²
• A = 3.14 x (10)²
• A = 3.14 x 100
• A = 314 sq. units

b) Circumference of circle with diameter 7 units

• r = d/2 = 7/2 units
• C = 2πr
• C = 2 x 22/7 x 7/2
• C = 2 x 11 = 22 units

c) Diameter of circle with area 121π square units

• A = πr²
• 121π = πr²
• r² = 121
• r = √121 = 11 units
• d = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

• C = 2πr
• 20π = 2πr
• r = 10 units
• A = πr²
• A = 3.14 x (10)²
• A = 3.14 x 100
• A = 314 square units