Question

. If the area of a circle is numerically equal to twice its circumference, then the radius of the circle is *

1 point

(a) 4 units

(b) 2 units

(c) 8 units

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Answer 1

Answer:

the answer will be 8 units

Step-by-step explanation:

Area of circle =2× Circumference of circle

πr

2

=2×2πr

r=4

Diameter of circle =2r=8cm

hope so helped u:)

Answer 2

Answer

(a) 4 units

Explanation

Given

• Area of a circle is numerically equal to twice its circumference

To Find

• The radius of the circle.

Solution

Area of a circle = πr²

Circumference of a circle = 2πr

Twice the circumference = 2× 2πr = 4πr

Where r = radius

According to the question

⟹ πr² = 4πr

Dividing by π on both sides of the equation.

⟹ r² = 4r

Dividing by r on both sides of the equation.

⟹ r = 4

Radius of the circle = r = 4

Double check:

let's see if the value of r satisfies the equation

Substituting 4 as r

⟹ πr² = 4πr

⟹ π(4)² ≟ 4π(4)

⟹ 4² ≟ 4(4)

⟹ 16 = 16

LHS is same as RHS, value of r satisfies the equation.