The diagram shows a sector OAPB of a circle, centre O.

Mathematics

1 answer:

Iteru [2.4K]3 years ago

5 0

Answer:

4.44 cm²

Step-by-step explanation:

If the diagram attached below is required to complete the question,

Applying,

Area of the shaded segment(A) = Area of the sector- area of the triangle

A = (πr²∅/360)-(r²sin∅/)2................ Equation 1

Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie

From the question,

Given: r = 5.4 cm, ∅ = 72°

Constant: π = 3.14

Substitute these values into equation 1

A = (3.14×5.4²×72/360)-(5.4²/2×sin72)

A = 18.31-13.87

A = 4.44 cm²

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Answer:

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R=x^2/y <br> x=3.8 times 10^5 <br> y=5.9 times 10^4 <br> work out the value of r

Zinaida [17]

Answer:

2.4×10^6

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic. You can enter the numbers in scientific notation into your (scientific) calculator and have it show you the result in the same format.

r = (3.8×10^5)^2/(5.9×10^4) . . . . . denominator parentheses are required

Please note that in the above expression, parentheses are required around the denominator number. This is because it is a product of two numbers. In your pocket calculator or spreadsheet, you can enter that value as a single number (not a product). Parentheses are not required when you can do that.

r = (3.8²/5.9)×10^(5·2-4) ≈ 2.4×10^6

___

The "exact" value is a repeating decimal with a long repeat. We have rounded to 2 significant digits here because the input numbers have that number of significant digits.