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3 years ago

A circle has a diameter of 15 inches find the circumference and area of this circle

Mathematics

1 answer:

mars1129 [50]3 years ago

5 0

Answer:

Circumference: 47.1 inches Area: 176.71 inches ²

Step-by-step explanation:

To find the circumference of a circle, you multiply the diameter(15) to pi (3.14).

To find the area of a circle, you find the radius of the circle, which is half of the diameter (7.5), square it, which equals 56.25, multiply that by pi (3.14) and there is your area. Make sure to write your answer to area in square inches.

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Read 2 more answers

Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$