The radius of a circle is 7 cm. find its circumference and area. what will happen to its circumference and area if the radius is tripled?
Answers
Answer:
Step-by-step explanation:
CASE 1
- when radius = 7 cm
Circumference = 2πr
= 2 × 22 ÷ 7
= 6.285714 cm
Area = 2πr²
= 2 × 22 ÷ 7 × 7²
= 44 × 7
= 308 cm²
CASE 2
- When radius is tripled ,i.e., radius = 3r
Circumference = 2π( 3r )
= 3( 2πr ) cm
= 18.57142 cm
IF THE RADIUS IS TRIPLED THE CIRCUMFERENCE WILL BECOME THRICE THE ORIGINAL CIRCUMFERENCE
Area = 2π( 3r )²
= 2π ( 9r² )
= 9 ( 2π² ) cm²
= 2772 cm²
IF THE RADIUS IS TRIPLED THE AREA WILL BECOME NINE TIMES THE ORIGINAL AREA
Answer:
Circumference = 2 * 22/7 * 7
= 44 cm
Area = 22/7 * 7 * 7
= 154 cm²
If radius is tripled =>
Circumference = 2 * 22/7 * 21
= 132 cm
Area = 22/7 * 21 * 21
= 1386 cm²
When radius is tripled =>
Circumference becomes 3 times larger.
Area becomes 9 times larger.
Step-by-step explanation:
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