The area of a quadrant of a circle whose circumference is 176cm is
Answers
Answer:
circumference = 2*22/7r
2 * 22 / 7 * r = 176
44/7 *r =176
r = 176 * 7 / 44
r =4 * 7
r = 28 cm..
area of quadrant = 1/4 ×22/7 ×r^2
1/ 4 × 22/7 × 28×28 =
1 / 2 ×11 ×28 ×4=
11 × 2 ×28 =
11× 56
616 cm^2
thanks6
The area of a quadrant of a circle where the circumference of circle is 176 cm, is 616 cm²
Given:
- Circumference of circle = 176 cm
To Find:
- Area of a quadrant of the circle
Solution:
Concept/formula to be used:
Circumference of circle = 2 π ( Radius )
Area of Quadrant of a circle = (1/4) π ( Radius )²
Step 1:
Use formula for circumference of circle and substitute circumference = 176 cm to find radius (R) of the circle and use π = 22/7
2 π R = 176
=> 2 x (22/7) x R = 176
=> R = 28 cm
Step 2:
Use formula for Area (A) of Quadrant of a circle and substitute Radius (R) = 28 m and use π = 22/7
A = (1/4) π R²
=> A = (1/4) (22/7) (28)²
=> A = 616 cm²
The area of a quadrant of a circle where the circumference of circle is 176 cm, is 616 cm²
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