参考：

Android 倒计时的五种实现方式

Android闪屏页圆形倒计时进度条实现

效果图：

自定义控件：

自定义属性自己可以添加，其他具体看注释。

public class MyCountDownView extends View {
    private static final int DEFAULT_WIDTH = 500;
    private static final int DEFAULT_HEIGHT = 500;
    private Paint arcPaint;
    private Paint circlePaint;
    private int radius;
    private RectF arcRectF;
    private int viewWidth;
    private int viewHeight;

    private Paint textPaint;
    private String timeStr;
    private int seconds;
    private int perSecondProgress;
    private float mCurrentProgress = 0;
    private boolean isReverse;

    public MyCountDownView(Context context) {
        super(context);
        init();
    }

    public MyCountDownView(Context context, @Nullable AttributeSet attrs) {
        super(context, attrs);
        init();
    }

    public MyCountDownView(Context context, @Nullable AttributeSet attrs, int defStyleAttr) {
        super(context, attrs, defStyleAttr);
        init();
    }

    private void init() {
        arcPaint = new Paint();
        arcPaint.setAntiAlias(true);
        arcPaint.setColor(Color.RED);
        arcPaint.setStyle(Paint.Style.STROKE);

        circlePaint = new Paint();
        circlePaint.setStrokeWidth(5);
        circlePaint.setAntiAlias(true);
        circlePaint.setColor(Color.parseColor("#33000000"));
        circlePaint.setStyle(Paint.Style.FILL);

        textPaint = new Paint();
        textPaint.setAntiAlias(true);
        textPaint.setStrokeWidth(2);
        textPaint.setColor(Color.WHITE);
        textPaint.setStyle(Paint.Style.FILL);
    }

    @Override
    protected void onMeasure(int widthMeasureSpec, int heightMeasureSpec) {
        int width = getProperSize(DEFAULT_WIDTH, widthMeasureSpec);
        int height = getProperSize(DEFAULT_HEIGHT, heightMeasureSpec);
        int result = Math.min(width, height);
        setMeasuredDimension(result, result);
    }

    private int getProperSize(int defaultSize, int measureSpec) {
        int result;
        int mode = MeasureSpec.getMode(measureSpec);
        int size = MeasureSpec.getSize(measureSpec);

        if (mode == MeasureSpec.EXACTLY) {
            result = size;
        } else {
            result = defaultSize;
            if (mode == MeasureSpec.AT_MOST) {
                result = Math.min(result, size);
            }
        }

        return result;
    }

    @Override
    protected void onSizeChanged(int w, int h, int oldw, int oldh) {
        super.onSizeChanged(w, h, oldw, oldh);

        radius = w / 2;
        viewWidth = w;
        viewHeight = h;

        //圆弧宽度与大小
        float defaultStrokeWidth = (float) (radius * 0.1);
        arcPaint.setStrokeWidth(defaultStrokeWidth);
        arcRectF = new RectF();
        arcRectF.left = defaultStrokeWidth / 2;
        arcRectF.top = defaultStrokeWidth / 2;
        arcRectF.right = w - defaultStrokeWidth / 2;
        arcRectF.bottom = h - defaultStrokeWidth / 2;

        //字体大小
        float textSize = (float) (radius * 0.5);
        textPaint.setTextSize(textSize);
    }

    @Override
    protected void onDraw(Canvas canvas) {
        super.onDraw(canvas);

        //绘制背景圆
        canvas.drawCircle(viewWidth / 2, viewHeight / 2, radius, circlePaint);

        //绘制进度
        if (isReverse) {
            canvas.drawArc(arcRectF, -90, (mCurrentProgress / 100) * 360, false, arcPaint);
        } else {
            canvas.drawArc(arcRectF, -90, -(mCurrentProgress / 100) * 360, false, arcPaint);
        }

        //绘制文字
        for (int i = seconds; i > 0; i--) {
            if (mCurrentProgress > perSecondProgress * (i - 1)) {
                timeStr = i + "秒";
                break;
            } else if (mCurrentProgress == 0) {
                timeStr = "跳过";
            }
        }
        //文字宽度
        int textWidth = (int) textPaint.measureText(timeStr);
        //文字baseline
        Paint.FontMetricsInt fontMetrics = textPaint.getFontMetricsInt();
        int baseline = (viewHeight - fontMetrics.bottom - fontMetrics.top) / 2;//view高度居中
        //绘制文本
        canvas.drawText(timeStr, (viewWidth - textWidth) / 2, baseline, textPaint);
    }

    public void start(int duration, boolean isReverse) {
        this.seconds = duration / 1000;
        this.perSecondProgress = 100 / seconds;
        this.isReverse = isReverse;

        ValueAnimator progressAnimator = ValueAnimator.ofFloat(100, 0);
        progressAnimator.setDuration(duration);
        progressAnimator.setInterpolator(new LinearInterpolator());
        progressAnimator.addUpdateListener(new ValueAnimator.AnimatorUpdateListener() {

            @Override
            public void onAnimationUpdate(ValueAnimator valueAnimator) {
                mCurrentProgress = (float) valueAnimator.getAnimatedValue();
                invalidate();
            }
        });
        progressAnimator.start();
    }
}

使用：

MyCountDownView myCountDownView = ((MyCountDownView) this.findViewById(R.id.countdownview));
myCountDownView.start(5 * 1000, true);
myCountDownView.setOnClickListener(new View.OnClickListener() {
    @Override
    public void onClick(View v) {
        Toast.makeText(MainActivity.this, "你点击了我", Toast.LENGTH_SHORT).show();
    }
});